Freshmen Math: Area of Triangle
Brian is making 5 triangular flags, each with the dimensions shown below. mc013-1.jpg How much fabric will Brian need to make the 5 flags?
1,620 square inches
Which expression represents the area of the shaded triangle?
1/2 x (5.7) x (1.9)
Which expression represents the area of triangle ABC in square meters?
1/2 x 14 x 57
The area of a rectangle in 24 square units. A diagonal drawn from one corner to another divides the rectangle into two right triangles. What is the area of the shaded triangle?
1/2 x 24 sq units
Find the area of the given triangle. The base (b) of the triangle is ___feet. The height (h) of the triangle is ___feet. The area of the triangle is ____square feet.
10 15 75
Millie makes a placemat with a triangular pattern. Each triangle has a base of 5 inches and a height of 4 inches. Millie sews together a total of 42 triangles. Each triangle has an area of ___inches2 The total area of the placemat is ____inches2
10 420
Washington Park is a grassy area bordered by three streets as pictured below. What is the area of the park to the nearest square yard?
100,000 square yards
The sign for a new restaurant will be a triangle with a base of 8 feet and a height of 3 feet. The painter needs to know if he has enough paint to cover the sign. Find the area of the sign in square feet. The area of the sign is ____ square feet.
12
Sandy has a garden in her backyard. The drawing shows the dimensions of her garden. A bag of fertilizer covers 3 square feet. How many bags of fertilizer will Sandy need to cover her garden? The area of the garden is ____feet squared. Sandy will need _____ bags of fertilizer to cover her garden.
12 4
What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch
128 in squared
Lee's family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand the garden to form a triangle with twice the base and twice the height, by how much will they increase the size of their garden?
16 square feet
A building casts a shadow in the shape of a right triangle with a base 18 feet wide and a height of 20 feet. What is the total area of the shadow?
180 square feet
What is the area of triangle PQR?
2,236 square inches
This rectangle was cut to make these two triangles. Relating Triangles and Rectangles The base of the rectangle is 7 inches, and the height is 6 inches. The area of one triangle is ______square inches.
21
A poster is in the shape of a parallelogram. The base of the poster is 12 inches long, and the height of the poster is 18 inches. What is the area of the poster?
216 sq inches
What is the area of the triangle?
24 square units
The base (b) of the triangle is ____units. The height (h) of the triangle is ____ units. The area of the triangle is ____square units.
3 5 7.5
Triangle Find the area of the triangle. The area of the triangle is _____ square units
40
Look at the drawing of a triangle within a rectangle. The triangle and the rectangle have the same base, b, and height, h. If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?
48 sq units
What is the area of triangle DEF?
588 square centimeters
Maya is finding the area of the shaded triangle below. If she considers 10 m to be the height of the triangle, what should she use as the triangle's base?
73 m
Carter is building a model sailboat. The boat will have two sails. One sail will have a base of 24 inches and a height of 56 inches. The other sail will have a base of 14 inches and a height of 33 inches. What is the minimum amount of material Carter needs to build the sails?
903 inches squared
What is the area of the shaded triangle?
96 mm2
Sandy has a garden in her backyard. The drawing shows the dimensions of her garden. Which formula shows the area of Sandy's garden?
A = 1/2 (4)(6)
95 = ½ (7+12)h
A trapezoid has an area of 95 square meters. The bases are 7 meters and 12 meters. Write an equation to determine the height of the trapezoid.
9 square miles
A wildlife conservation group buys a plot of land. How much land does it buy?
What is the area of the triangle?
A=1/2 (6)(5) = 15 square feet
81 square ft
Ahmad just bought a used sailboat with two sails that need replacing. How much sail fabric will Ahmad need if he replaces sail A?
32 square cm
Calculate the area of this polygon
14 inches
Cindy made a triangular shaped sculpture with an area of 63 square inches. The height of the sculpture is 9 inches. What is the base length of the sculpture?
17 square inches
Debra has two different square baking dishes. One has a side length of 8 inches, and the other has a side length of 9 inches. What is the difference in the area of Debra's two square baking dishes?
A parallelogram is a four sided polygon with two sets of parallel lines.
Define parallelogram.
17.5 square units
Determine the area of the triangle.
No. Only use the measurement of the base and multiply it by the height.
Do you use the extension of the base when calculating the area?
187 square kilometers
Find the area of the parallelogram.
243 square inches
Find the area of the parallelogram.
3 x 8 = 24 square units
Find the area of the parallelogram.
3,750 square centimeters
Find the area of the parallelogram.
500 square yards
Find the area of the parallelogram.
6 x 2 = 12 square units
Find the area of the parallelogram.
99 square inches
Find the area of the parallelogram.
1,125 square centimeters
Find the area of the triangle.
1,620 square inches
Find the area of the triangle.
105 square meters
Find the area of the triangle.
132 square meters
Find the area of the triangle.
175 square centimeters
Find the area of the triangle.
189 square millimeters
Find the area of the triangle.
225 square feet
Find the area of the triangle.
28 square centimeters
Find the area of the triangle.
35 square centimeters
Find the area of the triangle.
78 square meters
Find the area of the triangle.
80 square kilometers
Find the area of the triangle.
base = 10m, height = 3m
Find the base and the height of this parallelogram.
base = 10 ft., height = 6 ft
Find the base and the height of this triangle.
base = 5 cm, height = 4 cm
Find the base and the height of this triangle.
base = 10 ft., height = 6 1/2 ft, area = 65 square ft.
Find the base, height, and area of this parallelogram.
24
How many cm is the perimeter of the triangle above?
576 square inches
Joseph is painting the flag of Brunei (a country in Southeast Asia) for a geography project at school. How many square inches will he cover with white paint?
138 square ft
Karen has a square vegetable garden that has a side length of 21.5 feet. If she increases the length of each of the sides of her garden by 3 feet, then by how many square feet does she increase the area of her garden?
6 bags
Kinu wants to buy topsoil for a section of her garden that has the dimensions shown in the figure. Each bag covers 2 square yards. How many bags of topsoil should Kinu buy?
A rectangle and a triangle have the same area and the same base measurement. How does the height of the triangle compare to the height of the rectangle? Explain your answer.
Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.
35.5
Solve for the angle measure to the nearest 1/10th of a degree.
35.9
Solve for the angle measure to the nearest 1/10th of a degree.
41.2
Solve for the angle measure to the nearest 1/10th of a degree.
43.9
Solve for the angle measure to the nearest 1/10th of a degree.
44.4
Solve for the angle measure to the nearest 1/10th of a degree.
49.7
Solve for the angle measure to the nearest 1/10th of a degree.
50.9
Solve for the angle measure to the nearest 1/10th of a degree.
64.3
Solve for the angle measure to the nearest 1/10th of a degree.
66.6
Solve for the angle measure to the nearest 1/10th of a degree.
70.3
Solve for the angle measure to the nearest 1/10th of a degree.
A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but doubles the height. How does the area of the triangle change?
The area increases by 6 square units.
15 square ft
The area of this trapezoid is...
3 cm
The table shows the dimensions of four rectangles. How many centimeters longer is the rectangle with the greatest area than the rectangle with the least area?
Which statements about triangles are true? Select all that apply.
Two triangles can be put together to form a parallelogram. All triangles have an area that is one half the area of a rectangle with the same base and height. A diagonal can split a rectangle with an area of 40 square units into two triangles with areas of 20 square units each.
2
What is the area of a right triangle 2 cm by 4 cm?
12
What is the area of a right triangle 4 cm by 6 cm?
10
What is the area of a right triangle 5 cm by 4 cm?
15
What is the area of a right triangle 6 cm by 5 cm?
30
What is the area of a right triangle above?
6
What is the area of a right triangle above?
10
What is the area of a right triangle?
12
What is the area of a right triangle?
15
What is the area of a right triangle?
48
What is the area of the rectangle above in cm^2?
48
What is the area of the rectangle above?
24
What is the area of the right triangle above in cm^2?
24
What is the area of the right triangle above?
144.5 square cm
What is the area of the triangle on the flag of Bosnia and Herzegovina?
4
What is the area of the triangle?
58.065 square meters
What is the area of the triangle?
Area = base x height or A = b x h
What is the formula for finding the area of a parallelogram?
Area = (base x height) ÷ 2 or A = (b x h) ÷ 2
What is the formula for finding the area of a triangle?
1/2 base x height
What is the formula for the area of a triangle?
28
What is the perimeter of the rectangle above in cm?
28
What is the perimeter of the rectangle?
12
What is the perimeter of the right triangle above?
30
What is the perimeter of the right triangle above?
1 acre
You live on a triangular piece of land with a base of 121 yards and a height of 80 yards. One acre of land is equal to 4840 square yards. Find the area of your piece of land in acres.
16 square feet
Your neighbor adds a triangular section to his driveway with a base of 4 feet and a height of 8 feet. What is the area of the new section of driveway?
height
a perpendicular segment that is the vertical distance from the base to the opposite vertex
base
a side of a polygon
right triangle
a three-sided polygon that has one right angle
area
the amount of space enclosed by a two-dimensional figure
