Question

The perimeter of a rectangle is 120 ft, what is the length and width of the length is 2 times the width

Answer 1

length = 40ft

width = 20ft

Explanation:

The perimeter of a rectangle is represented by the formula;

P = 2l + 2w

where

p is the perimeter

l is the length of the rectangle

w is the width of the rectangle

From the question

p = 120 ft

The length of the rectangle is 2 times the width can be represented as;

l = 2w

The expression is then substituted into the original equation;

`120 = 2(2w) + 2w \\ 120 = 4w + 2w \\ 120 = 6w \\ (120)/(6) = (6w)/(6) \\ w = 20`

The width of the rectangle is 20ft. This value is then substituted into the equation l = 2w.

`l = 2(20) = 40`

The length of the rectangle is 40 ft