Question

A rectangle's length is 6 inches greater than its width. If the perimeter of the rectangle is 36 inches, find the length.

Answer 1

We will have the following:

First, we are given the following expressions for the rectangle's length and width respectively:

$l=w+6$

&

$w=w$

Now, we calculate the length and width using the perimeter:

$P=2(l+w)\Rightarrow P=2(w+6+w)\Rightarrow P=2(2w+6)\Rightarrow P=4(w+3)$

So:

$36=4(w+3)\Rightarrow w+3=9\Rightarrow w=6$

Then:

$l=(6)+6\Rightarrow l=12$

So, the measurements of the length and the width are respectively 12 units and 6 units.