The length of a rectangle is 4 more than 5 times its width. Find the length of the rectangle if its perimeter is 68 meters.

Answer 1

L = 4 + 5W

Perimeter, P = 2(L + W) = 68

Substitute Eq 1 into 2, you get

2(4 + 5W + W) = 68

2(4 + 6W) = 68

8 + 12W = 68

12W = 60

W = 60 / 12 = 5 m

L = 4 + 5W = 4 + 5(5) = 4 + 25 = 29 m