A house contains one 12-foot-x-14-foot bedroom, one 12-foot-x-10-foot bedroom, and one 8-foot-x-12-foot bedroom. What’s the total amount of carpet needed to carpet all three bedrooms, given that one carpet = 1 yard?

A house contains one 12-foot-x-14-foot bedroom, one 12-foot-x-10-foot bedroom, and one 8-foot-x-12-foot bedroom. What’s the total amount of carpet needed to carpet all three bedrooms, given that one carpet = 1 yard?

Detailed Explanation

Find the area of each bedroom and add them together:

12 × 14 = 168;

12 × 10 = 120;

8 × 12 = 96. 168 + 120 + 96 = 384 square feet.

Then, because 9 square feet make up a square yard, divide the total area in square feet by 9 to determine the number of square yards needed:

384 ÷ 9 = \(42\tfrac{2}{3}\) square yards.

12 × 14 = 168;

12 × 10 = 120;

8 × 12 = 96. 168 + 120 + 96 = 384 square feet.

Then, because 9 square feet make up a square yard, divide the total area in square feet by 9 to determine the number of square yards needed:

384 ÷ 9 = \(42\tfrac{2}{3}\) square yards.