# A rectangle has a perimeter if 46 cm and an area of 120 cm^2. How do you find its dimensions by writing an equation and using the quadratic formula to solve it?

##### 1 Answer

Apr 7, 2018

The dimensions are 8 cm and 15 cm.

#### Explanation:

Let the length be

The perimeter of the rectangle is

The area of the rectangle is

We now have two equations,

And

From (2),

From (2), when

When