Question

Jackson's rectangular bedroom has an area of 80 square feet. The area of his bedroom is 10 times that of his rectangular closet. If the closet is 2 feet wide, what is its length? BE SURE TO ADD A LABEL TO YOUR ANSWER.

Answer 1

Length of the rectangular closet = 4 feet

Explanation:

Area of his bedroom = 80 square feet.

The area of his bedroom = 10 times that of his rectangular closet.

Let x = area of his rectangular closet.

80 = 10 * x

80 = 10x

x = 80/10

= 8

x = 8 square feet

If the closet is 2 feet wide, what is its length?

Area of the rectangular closet = length × width

Let y = Length of the rectangular closet

8 Square feet = y feet × 2 feet

8 = 2y

y = 8/2

= 4

y = 4 feet

Length of the rectangular closet = 4 feet