The width of a certain rectangle is 2 less than its length. If its perimeter is 96, what is its length?

Question

I know the length is 25, but I need to know the process of how to get it.

Answer 1

The width of 2 less than its length means W = L - 2

P = 2 ( W + L ) = 96

Replace W = L - 2 in tis equation

2 ( L - 2 + L ) = 96

2 ( 2 L - 2 ) = 96

2 ∙ 2 ( L - 1 ) = 96

4 ( L - 1 ) = 96

Divide both sides by 4

L - 1 = 24

Add 1 to both sides

L = 25