QUIZ 2 : AREA

A contractor is pouring a concrete driveway. The perimeter is 108 ft. What length will the driveway be if the width is 12 ft.?

42 ft long

Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because the bricks measure 8" long by 3 1/2" wide by 2 1/2" high, you decide to build each column by laying the bottom row of bricks as shown. How much ground area will be covered by the first row of bricks laid (both columns) as shown above?

448 sq in

Mr. Thompson has been asked to add storage space to a garage. He estimates 6 square feet per individual will be required to meet the needs of 12 people. If the storage space is 15% of the total amount of space required, how much total space does Mr. Thompson have?

480 sq ft

A lot is in the shape of a trapezoid. The sum of the bases is 180 feet. If the area of the lot is 8,100 square feet, what is the distance across the lot, i.e. the altitude of the figure?

90 ft

If 600 bricks measuring 12" by 18" are required to build a wall 10 ft. high (one brick thick), how long is the wall?

90 ft

Find the area of the following rectangle. length = 12 ft. width = 8 ft.

96 sq ft

Compute the number of vinyl tiles, measuring 8 in. each side, needed to tile a kitchen measuring 24 ft. by 18 ft.

972 tiles

The three sides of a triangular lot are represented by x, 2x, and 3x + 2. Find each side if the perimeter of the triangular lot is 362 feet.

length of sides of triangle : 60 120 182

Find the area of the following circle. r = 9 yd.

254.34 sq yards

Compute the area of the triangle. (Express answer in cm²) height = 6 cm base = 12 cm

36 cm2

How many rows of bricks will it take to complete each column?

60 rows of bricks

A gardener is installing a circular garden. The radius of the circle 28 feet. He needs to know the circumference in order to buy materials for the edging. What is the circumference if he uses pi = 22/7

circumference : 176 ft

Construction: One end of this storage shed will be left open, except for the gable. The area shaded in red is the gable. The area shaded in blue is the open end. Metal panels: Each side and end panel measures 6' high by 2' 6" wide. Each roof panel measures 4' 1" long by 2' 6" wide. Each of the two gable closures measures 1' 6" high by 7' 6" wide. For this storage shed one end will be left open, except for the gable. Reminder: The Pythagorean Theorem will be useful here. Refer to the graphic above to answer the question. What is the surface area of the sides and closed rectangular end?

165 sq ft

A square measures 8 inches on each side. What is its area rounded off to the nearest square centimeter? (Note: 1 inch ≈ 2.54 cm)

413 sq cm

If a rectangular lot measures 120 ft. x 80 ft., and 10 foot set backs are required from each lot line, how much area is left? If a kennel for 50 dogs requires 12,500 square feet, how many dogs can be accommodated in the small rectangle? ___ sq ft in smaller lot no. of dogs allowed ___

6000 24

How many roof panels are required?

8 roof panels

If you have a rectangular space with dimensions of 180 ft. x 75 ft., and 20,000 square feet is required by 45 cars, do you have sufficient space for 45 cars?

no

Find the area of the following ellipse (round to nearest tenth). 2a = 10 cm; 2b = 24 cm.

188.4 cm2

Find the required measurements of the following trapezoids. base1 = 12 cm base2 = 14 cm height = 8 cm Area =

104 cm2

A trapezoid has an altitude of 12 cm. Its parallel sides measure 10 and 8 cm, respectively. What is its area?

108 cm2

Compute the area of a triangle with sides. 15 × 15 × 18

108 sq units

Find the area of the following circle. ( = 3.14; round answer to the nearest whole number). Circumference = 120 cm. (Hint: Find r from C = 2 r (round r to tenths); then find area).

1146 cm2

Find the area of an ellipse with a minor axis of 8 inches and a major axis of 9 inches (round to nearest tenth).

56.5 sq in