Question

1) A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the

width. What are the dimensions of the carpet?

Answer 1

The width is 24 inches and the length is 120 inches.

Explanation:

Let x represent the width of the carpet

The length can be represented by x + 96

Create an equation:

x + x + x + 96 + x + 96 = 288

Add like terms and solve for x:

4x + 192 = 288

4x = 96

x = 24

So, the width is 24 inches. Plug this into x + 96 to find the length:

x + 96

24 + 96

= 120

So, the width is 24 inches and the length is 120 inches.