# The perimeter of a rectangle is 36ft, and the area of the rectangle is 72ft^2 . How do you find the dimensions?

##### 1 Answer

You must write a system of equations to represent the problem.

#### Explanation:

The formula for perimeter of a rectangle is

Thus,

We can now eliminate the denominators since all fractions are equal.

This is a trinomial of the form

Since the length can be the width and vice-versa, the sides of the rectangle measure 12 and 6.

Hopefully this helps!