Question

A rectangular carpet has a perimeter of 274 inches. The length of the carpet is 95 inches more than the width. What are the dimensions of the​ carpet?

Answer 1

Length: 116

Width: 21

Explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

So,

2x + 2x + 190 = 274.

Simplify this and you get:

4x= 274 - 190

4x = 84

x= 21

So, the width is 21. This means that the length is 21 + 95.

21 + 95 = 116