Question

Two times the width of a certain rectangle exceeds its length by three inches, and eight times its length is twelve more than its perimeter. Find the width of the rectangle.

Answer 1

Perimeter is the sum of all sides of a shape. For a rectangle, it is the sum of the two lengths and two width measurements. We set up the equations as follows:

l = 2w - 3

P = 8l - 12

P = 2w + 2l
8l -12 = l - 3 + 2l
5l = 9
l = 9/5

9/5 = 2w - 3
w = 12/5