Question

A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the

width of the rectangle in units?

Answer 1

P = 3

Explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w Subtract w from both sides

9w = 27 Divide by 9

w = 27 / 9

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.