Question

the width of a rectangle is half of the length of the rectangle. if the perimeter is 84 inches what is the length of the rectangle?

Answer 1

The length of the rectangle is 28 inches.

Explanation:

We have that the width (W) of a rectangle is half of the length (L) of the rectangle:

`W = (1)/(2)L` (1)

Also, the perimeter is 84 inches:

`P = 2W + 2L = 84 in` (2)

By entering equation (1) into equation (2) we have:

`2((1)/(2)L) + 2L = 84 in`

`L = (84)/(3) = 28 in`

Therefore, the length of the rectangle is 28 inches.

I hope it helps you!