8/11 Geometry - Area/Perimeter Practice
6 ft²
What is the area of this shape?
40,000 cm²
What is the area of this square in centimeters?
4 m²
What is the area of this square in meters?
4 inch²
What is the area of this square?
6 yds²
What is the area?
Area= b x h
What is the formula for area of a parallelogram?
Area= 1/2(base 1 + base 2)height
What is the formula for area of a trapezoid?
Area= 1/2 b x h
What is the formula for area of a triangle?
28 ft
What is the perimeter of a square with an area of 49 square feet?
36 cm
What is the perimeter of a square with an area of 81 square centimeters?
12 in
What is the perimeter of a square with an area of 9 square inches?
22 ft
What is the perimeter of this shape?
400 cm
What is the perimeter of this shape?
Sal is trying to determine how much fabric he will need to create the kite diagrammed below. Which expressions can he use to find the total area of the kite? Check all that apply. (40)(108) (73)(115) (40)(33)+(40)(75) (40)(170) (80)(108)
(40)(108) (40)(33)+(40)(75)
Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram. The area of the path is 120 square feet. About how many pavers will she need to cover the path? 40 60 120 160
120
What is the area of the irregular figure below? 290cm2 360cm2 3960cm2 7920cm2
290cm2
12 yd
What is the side length of a square with an area of 144 square yards?
5 in
What is the side length of a square with an area of 25 square inches?
What is the length of side XY as shown on the coordinate plane? 0 units 1 units 3 units 4 units
4 units
A trapezoid was broken into two congruent triangles and a rectangle. What is the base length, b, of one of the triangles? 3 cm 4 cm 6 cm 7 cm
3 cm
The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. 1/2(n)2.1 What number should go in place of n to find the area of the triangle?
4.5
A child's toy harp is in the shape of a trapezoid as shown. In square inches, what is the area of the harp?
64 in2
What number should Rhianna use for the height of the parallelogram if she uses 28 inches for the base?
7 in
Jasmine wants to make a path from one corner of her yard to the other as shown. The path will be 3 feet wide. What is the area of the path?
90 sq ft
$1400
A certain company charges $2 per foot to install fencing. How much would they charge to install fencing around a 200 foot by 150 foot property?
$1200
A certain company charges $2.40 per foot to install fencing. How much would they charge to install fencing around a 100 foot by 150 foot property?
$850
A certain company charges $2.50 per foot to install fencing. How much would they charge to install fencing around a 80 foot by 90 foot property?
$5100
A certain company charges $3 per foot to install fencing. How much would they charge to install fencing around a 300 foot by 550 foot property?
$1035
A certain company charges $3 per square foot to lay patio. How much would they charge to lay a 23 foot by 15 foot patio?
$840
A certain company charges $3.50 per square foot to lay patio. How much would they charge to lay a 20 foot by 12 foot patio?
$1260
A certain company charges $4 per square foot to lay patio. How much would they charge to lay a 21 foot by 15 foot patio?
$1350
A certain company charges $4.50 per square foot to lay patio. How much would they charge to lay a 20 foot by 15 foot patio?
$101.11
A certain company in Prescott Valley charges $0.65 per square yard for carpet cleaning. How much would they charge to clean a 1400 square foot house?
$210
A certain company in Prescott charges $0.15 per square foot for carpet cleaning. How much would they charge to clean a 1400 square foot house?
$450
A certain fencing company in Chino Valley charges $1.25 per foot of fencing they install. How much would they charge to fence in a 100 ft by 80 ft property?
$390
A certain fencing company in Verde Valley charges $3.25 per yard of fencing they install. How much would they charge to fence in a 100 ft by 80 ft property?
Composite Figure
A figure made up of simple geometric shapes
13 ft
A framer wants to order wood for three frames he is making. The finished frames are all going to be 14 inches by 12 inches. How many feet of wood does he need to purchase in order to construct the frames?
156 in
A framer wants to order wood for three frames he is making. The finished frames are all going to be 14 inches by 12 inches. How many inches of wood does he need to purchase in order to construct the frames?
30 in
A square with a perimeter of 40 inches is cut in half creating two identical rectangles, as pictured. What is the perimeter of one of the newly created rectangles?
20 in²
A square with an area of 40 square inches is cut in half creating two identical rectangles, as pictured. What is the area of one of the newly created rectangles?
9 square miles
A wildlife conservation group buys a plot of land. How much land does it buy?
Triangle
A= 1/2b×h
Which equations can be used to determine the area of the irregular figure? Check all that apply. A= 3(5)+1/2(5)(6) A= 1/2(5)(9)+1/2(3)(5) A= 1/2(3)(5)(9) A= 3(5)(9) A=1/21/2(5)(9)+3(5) A=3(5)+6(5)
A= 3(5)+1/2(5)(6) A= 1/2(5)(9)+1/2(3)(5)
Parallelogram
A=b×h
Rectangle
A=l×w
Square
A=l×w
$248.40
At Ace Hardware you can purchase linoleum tiles for $1.15 per square foot. How much would it cost to tile a 16x12 ft kitchen and a 4x6 ft bathroom?
$226.80
At Home Depot you can purchase linoleum tiles for $9.45 per square yard. How much would it cost to tile a 16x12 ft kitchen and a 4x6 ft bathroom?
160 ft²
Base 1= 11 feet, Base 2 = 9 feet, height 16 feet
36 ft²
Base 1= 5 feet, Base 2= 7 feet, height 6 feet
What are the possible dimensions of a rectangle with an area of 40 square units? Check all that apply. Base: 8 units Height: 5 units Base: 8 units Height: 6 units Base: 4 units Height: 10 units Base: 4 units Height: 8 units Base: 20 units Height: 2 units Base: 2 units Height: 40 units
Base: 8 units Height: 5 units Base: 4 units Height: 10 units Base: 20 units Height: 2 units
130 ft
Bettina wants to install crown molding around her kitchen, dining room, and bathroom. Her kitchen is 12 feet by 14 feet, the dining room is 12 feet by 15 feet, and the bathroom is 5 feet by 7 feet. How many feet of crown molding should she buy?
44 yd
Bettina wants to install crown molding around her kitchen, dining room, and bathroom. Her kitchen is 12 feet by 14 feet, the dining room is 12 feet by 15 feet, and the bathroom is 5 feet by 7 feet. To the nearest yard, how many yards of crown molding should she buy?
383 ft²
Bettina wants to lay laminate flooring in her kitchen, dining room, and bathroom. Her kitchen is 12 feet by 14 feet, the dining room is 12 feet by 15 feet, and the bathroom is 5 feet by 7 feet. How many square feet of laminate flooring should she buy?
43 yds²
Bettina wants to lay laminate flooring in her kitchen, dining room, and bathroom. Her kitchen is 12 feet by 14 feet, the dining room is 12 feet by 15 feet, and the bathroom is 5 feet by 7 feet. How many square yards of laminate flooring, to the nearest square yard, should she buy?
78 ft
Bianca wants to fence in her pool so the neighborhood children cannot fall in. If the pool area is 21 feet by 18 feet, how many feet of fencing will she need?
26 yd
Bianca wants to fence in her pool so the neighborhood children cannot fall in. If the pool area is 21 feet by 18 feet, how many yards of fencing will she need?
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. How do Nikki's and Dylan's proposals compare? Check all that apply. Nikki's proposed placement will light a greater area than Dylan's placement. Dylan's proposed placement will light a greater area than Nikki's placement. Both proposed placements will light the same sized area. Nikki's proposed placement will light more than half the yard. Dylan's proposed placement will light more than half the yard. Dylan's proposed placement will light exactly half of the yard. Nikki's proposed placement will light less than half of the yard.
Both proposed placements will light the same sized area. Dylan's proposed placement will light exactly half of the yard.
32 cm²
Calculate the area of this polygon
36π in²
Find the area of a circle, in terms of pi, with a radius of 6 inches
32π in²
Find the area of a semi-circle, in terms of pi, with a radius of 8 inches.
131.6 ft²
Find the area of the compound shape.
187 km²
Find the area of the parallelogram.
500 yds²
Find the area of the parallelogram.
28 square centimeters
Find the area of the triangle.
35 square centimeters
Find the area of the triangle.
78 m²
Find the area of the triangle.
80 km²
Find the area of the triangle.
13 ft
Find the perimeter of a square with a side length of 3 1/4 ft.
22 1/2 in
Find the perimeter of an equilateral triangle with a side length of 7 1/2 in.
62.4 ft
Find the perimeter of the compound shape.
2.1 cm
Find the side length of a regular hexagon with a perimeter of 12.6 cm.
1 1/2 ft (1.5 ft)
Find the side length of a regular octagon with a perimeter of 12 ft.
10.5 mm
Find the side length of a square with a perimeter of 42 mm.
3 3/4 in
Find the side length of an equilateral triangle with a perimeter of 11 1/4 in.
49 cm
Fiona has three small equilateral triangles and one large equilateral triangle. The small triangles have sides of 7 centimeters. Lauren arranges them to form the shape shown below. What is the perimeter of the shape she made?
60 ft
How many feet of chicken wire are needed to enclose a 20 ft by 10 ft garden?
160 ft
How many feet of fencing are needed to surround a 50 ft by 30 ft piece of property?
150 feet
How many feet of fencing are needed to surround a piece of property 30 feet long by 45 feet wide?
210 feet
How many feet of fencing are needed to surround a piece of property 40 feet long by 65 feet wide?
290 feet
How many feet of fencing are needed to surround a piece of property 60 feet long by 85 feet wide?
225 ft ²
How many square feet of carpeting are needed to carpet a 15 foot square room?
195 ft²
How many square feet of carpeting are needed to carpet a 15-foot by 13-foot room?
238 ft²
How many square feet of carpeting are needed to carpet a 17-foot by 14-foot room?
108 ft²
How many square feet of carpeting are needed to carpet a 9 foot by 12 foot room?
165 ft²
How many square feet of carpeting are needed to carpet an 11 ft by 15 ft room?
12 yd²
How many square yards of carpeting are needed to carpet a 9 foot by 12 foot room?
18.3 yd²
How many square yards, to the nearest tenth, are needed to carpet an 11 ft by 15 ft room?
20 yd
How many yards of chicken wire are needed to enclose a 20 ft by 10 ft garden?
53.3 yd
How many yards of fencing are needed to surround a 50 ft by 30 ft property? Round your answer to the nearest tenth.
4 in
If the area of a rectangle is 22 square inches, and the height is 5 1/2 inches, what is the width of the rectangle?
8.6 cm
If the area of a rectangle is 43 square centimeters and the width is 5 cm, what is the height?
6 1/2 in
If the perimeter of a rectangle is 22 inches, and the height is 4 1/2 inches, what is the width of the rectangle?
16.5 cm
If the perimeter of a rectangle is 43 centimeters and the width is 5 cm, what is the height?
12 ft²
Jack has two identical area rugs, as pictured on the left. He puts them together to form the shape pictured on the right. What is the area of the new shape?
19 ft
Jack has two identical area rugs, as pictured on the left. He puts them together to form the shape pictured on the right. What is the perimeter of the new shape?
162 in
Jackie has some star-shaped tiles. Each edge of a tile is 9 inches long, as pictured on the left. She puts two tiles together to make the shape shown on the right. What is the perimeter of the shape she made?
759 ft²
Janie wants to carpet three rooms in her home. The living room which is a 18 foot square, the dining room which is 15 feet by 16 feet, and the spare bedroom, which is 13 feet by 15 feet. How much carpeting will she need to complete the job?
856 ft²
Janie wants to carpet three rooms in her home. The living room which is a 20 foot square, the dining room which is 18 feet by 16 feet, and the spare bedroom, which is 12 feet by 14 feet. How much carpeting will she need to complete the job?
931 ft²
Janie wants to carpet three rooms in her home. The living room which is a 22 foot square, the dining room which is 17 feet by 15 feet, and the spare bedroom, which is 12 feet by 16 feet. How much carpeting will she need to complete the job?
72 feet
Jeannette wants to fence in her pool so the neighborhood children cannot fall in. If the pool area is 19 feet x 17 feet, how many feet of fencing will she need?
78 feet
Jeannette wants to fence in her pool so the neighborhood children cannot fall in. If the pool area is 21 feet x 18 feet, how many feet of fencing will she need?
80 feet
Jeannette wants to fence in her pool so the neighborhood children cannot fall in. If the pool area is 22 feet x 18 feet, how many feet of fencing will she need?
160 in
Linda has 4 triangles, all the same size, as pictured on the left. She uses them to construct the shape shown on the right. What is the perimeter of the shape she constructed?
256 square feet
Mike is doing some landscaping. He wants an 16 foot square section of his yard to be covered with grass. How many square feet will he be covering with grass?
440 square feet
Mike is doing some landscaping. He wants an 20 foot by 22 foot section of his yard to be covered with grass. How many square feet will he be covering with grass?
462 square feet
Mike is doing some landscaping. He wants an 21 foot by 22 foot section of his yard to be covered with grass. How many square feet will he be covering with grass?
How can you break up the figure into familiar shapes to determine the area? Subtract the area of the 5 yd by 3 2/3yd rectangle from the area of the 6 yd by 7 1/4 yd rectangle. Add the area of the 5 yd by 3 2/3 yd rectangle to the area of the 6 yd by 7 1/4 yd rectangle. Subtract the area of the 6 yd by 7 1/4 yd rectangle from the area of the 5 yd by 3 2/3 yd rectangle. Multiply 6 yd by 7 1/4 yd and subtract 5 and 3 2/3 from the product.
Subtract the area of the 5 yd by 3 2/3yd rectangle from the area of the 6 yd by 7 1/4 yd rectangle.
A = bh
The area formula for a rectangle
A = 1/2h(b₁+b₂)
The area formula for a trapezoid
A = 1/2bh
The area formula for a triangle
Jillian plans a pillow pattern before sewing. The parallelogram in the center of the pattern has a base length of 9 inches and a height of 7 inches. She needs to find the area of the fabric surrounding the parallelogram pattern. Which statements below should she apply when solving this problem? Check all that apply. The parallelogram has a base length of 16 inches and a height of 8 inches. The area of the parallelogram is (9)(7)=63 The total area of the block is 128 square inches. The area surrounding the parallelograms can be found by adding 63 to 128. The area surrounding the parallelogram can be found by subtracting 63 from 128.
The area of the parallelogram is (9)(7)=63 The total area of the block is 128 square inches. The area surrounding the parallelogram can be found by subtracting 63 from 128.
Layla is determining the area of the trapezoid. Her work is shown below. Step 1: Break the figure into rectangles and triangles. Step 2: Find the area of the rectangle: 8*10=80 Step 3: Find the area of the triangle: 1/2*6*8=24. Step 4: Add the areas together: 80+24=104 square feet. Which best describes Layla's error? The height of the triangle in Step 1 should be 4 ft. The area of the triangle in Step 3 should be 1/2*6*10=30. The area of the triangle is Step 3 should be halved because there is only one triangle. The areas in Step 4 should be multiplied instead of added.
The area of the triangle in Step 3 should be 1/2*6*10=30
15 ft²
The area of this trapezoid is...
30 in
The diagram is of an equilateral triangle inside of a square. If the perimeter of the square is 40 inches, what is the perimeter of the triangle?
32 in
The diagram is of an equilateral triangle inside of a square. If the perimeter of the triangle is 24 inches, what is the perimeter of the square?
345.6 ft²
The rectangle has six identical shaded squares inside it. The width of the rectangle is 14.4 feet. What is its area?
24 ft
The rectangle has six identical shaded squares inside it. The width of the rectangle is 14.4 feet. What is its length?
76.8 ft
The rectangle has six identical shaded squares inside it. The width of the rectangle is 14.4 feet. What is its perimeter?
38 feet
Thomas wants to put chicken wire around his garden to keep out deer and rabbits. If the garden plot is 11 feet by 8 feet, how many feet of chicken wire should he buy?
42 feet
Thomas wants to put chicken wire around his garden to keep out deer and rabbits. If the garden plot is 12 feet by 9 feet, how many feet of chicken wire should he buy?
36 feet
Thomas wants to put chicken wire around his garden to keep out deer and rabbits. If the garden plot is 9 feet square, how many feet of chicken wire should he buy?
66 feet
Todd wants to put a border around his living room. If the room is 18 feet by 15 feet, how many feet of border should he buy?
66 feet
Todd wants to put a border around his living room. If the room is 19 feet by 14 feet, how many feet of border should he buy?
88 feet
Todd wants to put a border around his living room. If the room is a 22 foot square, how many feet of border should he buy?
91 stones
Tommy wants to lay paving stones to create a patio area 13 feet by 7 feet. If the stones are each 1 square foot, how many stones should he purchase?
140 stones
Tommy wants to lay paving stones to create a patio area 14 feet by 10 feet. If the stones are each 1 square foot, how many stones should he purchase?
220 stones
Tommy wants to lay paving stones to create a patio area 20 feet by 11 feet. If the stones are each 1 square foot, how many stones should he purchase?
54 stones
Tommy wants to lay paving stones to create a patio area that is 9 ft by 6 ft. If the stones are each 1 square foot, how many stones does he need?
6 stones
Tommy wants to lay paving stones to create a patio area that is 9 ft by 6 ft. If the stones are each 1 square yard, how many stones does he need?
150 ft²
Triangular garden base = 15 feet height = 20 feet
12.25 mm²
What is the area of a square with a perimeter of 14 mm?
64 in²
What is the area of a square with a perimeter of 32 inches?
1 cm²
What is the area of a square with a perimeter of 4 cm?
48 cm²
What is the area of the rectangle?
58.065 m²
What is the area of the triangle?
140,000 m²
What is the area of this rectangle in meters?
300,000 m²
What is the area of this rectangle in meters?
800,000 m²
What is the area of this rectangle in meters?
27 inch²
What is the area of this shape?
3 inch²
What is the area of this shape?
6 cm
What is the side length, to the nearest centimeter, of a square with an area of 32 square centimeters?
6.78 m
What is the side length, to the nearest hundredth of a meter, of a square with an area of 46 square meters?
3.9 mm
What is the side length, to the nearest tenth of a millimeter, of a square with an area of 15 square millimeters?
Trapezoid
a= 1/2(b1+b2)h
80 ft²
four triangular gardens base of one garden = 8 ft. height of one garden = 5 ft.
360 ft²
pool length = 30 feet width = 12 feet
30.25 ft²
square fireplace pit 5.5 ft. on each side
400 ft²
square patio 20 feet per side
area
the amount of space enclosed by a two-dimensional figure
40 ft²
triangular deck base = 10 feet height = 8 feet
448 ft²
triangular pool base = 32 feet height = 28 feet
5,616 ft²
two tennis courts length = 78 ft. width = 36 ft.
