Perimeter help!

Question

The length of a rectangle is twice as long as its width. The perimeter is 27 yards. What are the lengths and width of the rectangle?

Answer 1

HI

The formula for perimeter of a rectangle is 2(L + W).

You know the length is twice the width, so we can call that 2w and let w be the width.

27 = 2(2w + w)

27 = 2(3w) first add the parentheses

27 = 6w. Then multiply

Divide both sides by 6 to find the width

27 ÷ 6 = 4.5

The width is 4.5 yards

The length is 2 x 4.5 = 9 yards

I hope that helps.