1

AREA

Name of Figure Drawing Properties Formula for Area

Rectangle

Parallelogram

Triangle

Trapezoid

Rhombus

Regular Polygon

Circle

2

1.) 2.)

3.) 4.)

5.) 6.)

3

9.)

10.)

11.)

12.)

13.)

14.)

4

5

9.)

6

7

11. 10.

9. 8.

7. 6.

8

7. 8.

10. 9.

6. 5.

9

1.

7.

6.

3-5.

5

4.

3.

2.

10

7.

11

12

1. An 18 ft. by 15 ft. swimming pool is to be surrounded by a 3 ft. wide walkway made of concrete. YOU MUST DRAW A PICTURE TO RECEIVE CREDIT. A) Find the area of the walkway ? B) What is the cost to make the walkway if the price of concrete is $2.18 per square foot? 2. This stained glass window is composed of 8 congruent trapezoidal shapes. The total area of the design is 72 square feet. Each trapezoid has bases of 3 and 6 feet. Find the height of each trapezoid. Explain your steps. 3. The local football team wants to purchase enough tarp material to cover their field during bad weather. The field, including the end zones is 120 yards long and 50 yards wide. They want to get exactly nineteen percent more than is needed to cover the field so some of the sidelines and area beyond each end zone are covered as well. How many square yards of tarp material should they buy?

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1. Natalie has designed a small oval racetrack for her remote control car. Her design is shown in the following figure. She has two curves, each of which is half of a circle. She also has two straight-aways that she wants to connect to the circles. The curves are on a radius of eighteen inches to the outermost point and the straight-aways are forty-six inches long. What is the total distance around the track? Round your answer to the nearest whole inch. 2. Brian’s pumpkin patch last year was a rectangle that measured forty-nine meters long by twenty-one meters wide. This year he increased the area of the pumpkin patch by increasing the length but not the width. He increased the area of the patch by 546 square meters. What is the length of the expanded pumpkin patch? 3. Kaylee just finished painting the smallest wall in her room. It took her 2 hours and 19 minutes and she was able to paint at a rate of forty-five square feet per hour. If the wall is thirteen feet long, how tall is it? Round your answer to the nearest foot. 4. A chess board has an area of 144 square inches. What is its perimeter? 5. The area of a CD ROM disc is 78.5 square centimeters. What is its diameter?

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The shape of a roof as viewed from above is shown in the diagram. The building owner is installing new shingles on the roof. Three bundles of shingles is called a square and covers 100 square feet. Bundles of shingles cost $33 each. An experienced roofer can lay a bundle of shingles in an average of 15 minutes.

1. What is the area of the roof? _____________________

2. How many square feet does a bundle of shingles cover? _____________________

3. How many bundles of shingles are needed? _____________________

4. How many squares of shingles are needed? _____________________

5. What is the cost of a bundle of shingles? ____________________

6. What is the cost of a square of shingles? _____________________

18 ft

18 ft

75

34 ft

25 ft

10 ft

15

7. How long will it take an experienced roofer to lay a square of shingles? _____________

8. How long will it take an experienced roofer to complete the entire job? _____________

9. If the roofer gets paid $30 per hour, how much will she earn for the job? ____________

10. What is the total cost of the job? _____________________

11. Mr. Goldstein wants to buy carpet to cover the floors completely in his living room and game

room. His living room is 10 feet by 15 feet. His game room is 20 feet by 30 feet.

Mr. Goldstein thinks that the area to be carpeted in his game room is double the area to be

carpeted in his living room.

Is Mr. Goldstein correct?

Explain your answer, and show your work. You may use diagrams as

part of your explanation and work.

16

2.

1.

4.

3.

17

6.

5.

7.

18

8.

10.

9.

19

12.

11.

13.

20

14.

21