Question

The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?

Answer 1

The width is 3 inches.

Explanation:

First, let's identify our variables.

L=Length

W=Width

P=Perimeter

P=2W+2L

We know that L=W+6

We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:

8W=2W+2(w+6)

If you go through all the steps to isolate the variable W, you'll end up with W=3

Answer 2

L = w+6
Perimeter = L + W
Substitute eqn 1 into 2
Perimeter = 2W + 6
Perimeter also = 8w
8w = 2W + 6
6w = 6
W = 1