A rectangle has a perimeter of 36 inches. Its length is 3 inches greater than twice the width. What’s the rectangle’s length?

A rectangle has a perimeter of 36 inches. Its length is 3 inches greater than twice the width. What’s the rectangle’s length?

Detailed Explanation

A rectangle’s perimeter is determined by the formula P = 2(l + w). The length of this rectangle is 3 + 2w. Substituting the known values into the formula results in 36 = 2(w + 3 + 2w).

36 = 2(3w + 3)

18 = 3w + 3

15 = 3w

w = 5

As the length is 3 + 2w, then l = 3 + 2(5), or l = 13.

36 = 2(3w + 3)

18 = 3w + 3

15 = 3w

w = 5

As the length is 3 + 2w, then l = 3 + 2(5), or l = 13.