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.