Question

The length of a rectangle is twice its width. The perimiter of the rectangle is 36 ft what are the length and the width of the rectangle?​

Answer 1

W = 6', L = 12'

Explanation:

Let W be the width and L the length.

We are told that L = 2W

The perimeter is 2L + 2W = 36'

Use the first equation in the second: 2(2W) + 2W = 36'

4W + 2W = 36'

6W = 36'

W = 6'

and since L = 2W, L = 12'

Check: Does a width of 6' and length of 12' make a perimeter of 36'?

2*6' + 2*12' = 36' ?

12'+24' = 36'

YES

The length is 12' and the width is 6'. The lenght is twice the width, and the perimeter adds to 36'.