Question

The perimeter of a rectangular garden is 150 feet. The length is 50 feet longer than the width, w. Which equation could be used to calculate the width of the garden?

A. 2w+50 + 2w =150



B. 2w+ 2(w +50) =150



C. 2w+ 2(w-50) =150



D. 2(w+50) + w =150

Answer 1

D

Explanation:

The perimeter formula for a rectangle is 2l + 2w = P. We know the l = w + 50 since it is 50 feet longer than the width. This means the width plus 50. This also means the width is just w.

So 2l + 2w = P becomes 2(w+50) +2w = P. And since the perimeter is 150 then the final equation is

2(w+50) + 2w = P