Section G.5 – Practice Problems

Round your answers to two decimal places where applicable. Use the π button on the calculator for all calculations.

1. Find the area and perimeter of the figure shown below.

2. Find the perimeter and area of the polygon shown below.

3. Find the perimeter and area of the polygon shown below.

4. Find the area and perimeter of the shape below.

5. Find the perimeter and area of the figure below.

6. Find the area of the figure below.

7. Find the area of the figure below.

8. Find the area of the figure to the right.

9. A circular fishpond with a diameter of 12 feet is to have a 2 feet wide border of paver bricks as shown below. Find the area of the region where the paver bricks will go.

10. Determine the perimeter and area of the shape shown below. (Both rounded regions are semicircles.)

11. Find the perimeter of the figure shown below where x = 11 cm.

12. Find the area of the shaded region below.

13. Find the perimeter and area of the shape below.

14. Find the distance around and the area of the shape below.

15. Find the area (shaded region) between the right triangle and semicircle.

16. Find the perimeter and area of the trapezoid below if the height is 10.

17. Calculate the perimeter and area of the figure below.

18. Calculate the area of the shaded region in the figure below.

19. Calculate the area of the shaded region in the figure below.

20. A small square is located inside a bigger square. The length of one side of the small square is 3 inches and the length of one side of the big square is 7 inches. What is the area of the region located outside the small square, but inside the big square?

21. Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is show to the right.

a. What is total area of floor that needs to be recovered?

b. Each box of laminate flooring contains 2.15 m² of flooring material. How many boxes should Joe buy?

c. One box costs $42.60. How much will the flooring cost?

d. If Joe gets a coupon for 20% off, how much would the flooring cost?

22. The front of a garage needs to be painted. The total area except for the door will be painted. The door is 1.5 m high and 2 m wide.

a. How many square meters of paint will be needed?

b. A can of paint covers 2.5 m². How many cans of paint will be needed?

c. A can of paint costs $24.50. How much will it cost to paint the front of the garage?

23. A school’s athletic director wants to seed the field and replace the fence. The field is shown at right.

a. How many meters of fencing will he need to purchase?

b. How many square meters will need to be seeded with grass seed?

c. If seeding costs $1.45 per square meter and fencing costs $23.50 per meter, how much will it cost to seed and replace the fence for the field?

24. A homeowner’s backyard is a rectangle with width 19 yards long and length 15 yards long. They plan to put in a square pool with side length 7 yards long in the backyard and then want to put tile in the rest of the entire backyard. How many square yards of tile do they need to buy?

25. In the process of looking for a new dance studio, you come across two studios that you like the best. To help make an informed decision, you decide to determine which studio is a better deal for its size. ‘Studio A’ will cost $1350 each month and ‘Studio B’ will cost $1500 each month. For each of the floor plans below:

a. Find the square footage of the studio.
b. Determine the cost per square foot.