Factoring Fun: Real-Life Problems for 8th Graders

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.

• 96 square meters

• 80 square meters

• 72 square meters

• 100 square meters

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.

• 14 meters

• 16 meters

• 10 meters

• 12 meters

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.

• 20 square meters

• 34 square meters

• 25 square meters

• 40 square meters

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.

• 24 cm²

• 60 cm²

• 15 cm²

• 30 cm²

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.

• 200 square inches

• 150 square inches

• 120 square inches

• 184 square inches

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.

• 20π square inches

• 5π square inches

• 15π square inches

• 10π square inches

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.

• 700 square feet

• 750 square feet

• 600 square feet

• 500 square feet

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.

• 140 meters

• 160 meters

• 180 meters

• 200 meters

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.

• 150 cubic meters

• 400 cubic meters

• 300 cubic meters

• 250 cubic meters