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Factoring Fun: Real-Life Problems for 8th Graders

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

A gardener has a rectangular garden that is 12 meters long and 8 meters wide. If he wants to create a path around the garden that is 2 meters wide, what will be the area of the path? Use factoring to simplify your expression.

a)

96 square meters

b)

80 square meters

c)

72 square meters

d)

100 square meters

2.

A school is planning to build a new playground that is in the shape of a square. If the area of the playground is 144 square meters, what will be the length of one side? Factor the area to find the side length.

a)

14 meters

b)

16 meters

c)

10 meters

d)

12 meters

3.

A rectangular pool has a length of 10 meters and a width of 5 meters. If the pool is to be surrounded by a deck that is 1 meter wide, what will be the total area of the deck? Use factoring to simplify your calculations.

a)

20 square meters

b)

34 square meters

c)

25 square meters

d)

40 square meters

4.

A box has a volume of 120 cubic centimeters. If the height of the box is 5 cm, what is the area of the base? Factor the volume to find the area of the base.

a)

24 cm²

b)

60 cm²

c)

15 cm²

d)

30 cm²

5.

A rectangular poster has a length of 24 inches and a width of 18 inches. If the poster is to be framed with a border that is 2 inches wide, what will be the area of the border? Use factoring to simplify your expression.

a)

200 square inches

b)

150 square inches

c)

120 square inches

d)

184 square inches

6.

A pizza shop sells pizzas that are 14 inches in diameter. If the shop wants to create a special pizza that is 2 inches larger in diameter, what will be the area of the special pizza? Factor the area to find the difference in size.

a)

20π square inches

b)

5π square inches

c)

15π square inches

d)

10π square inches

7.

A rectangular classroom measures 30 feet by 20 feet. If the school wants to add a storage area that is 5 feet wide along one side, what will be the new area of the classroom including the storage? Use factoring to simplify your calculations.

a)

700 square feet

b)

750 square feet

c)

600 square feet

d)

500 square feet

8.

A rectangular plot of land is 50 meters long and 30 meters wide. If a fence is to be built around the plot, what will be the total length of the fence? Factor the dimensions to find the total length.

a)

140 meters

b)

160 meters

c)

180 meters

d)

200 meters

9.

A rectangular swimming pool is 15 meters long and 10 meters wide. If the pool is to be filled with water to a depth of 2 meters, what is the volume of water needed? Use factoring to simplify your expression.

a)

150 cubic meters

b)

400 cubic meters

c)

300 cubic meters

d)

250 cubic meters