# The area of a rectangular piece of cardboard is 90 square centimeters, and the perimeter is 46 centimeters. How do you find the dimensions of the rectangle?

##### 1 Answer

Please see the explanation.

#### Explanation:

Let L = the length

Let W = the width

Divide equation [2] by 2:

Subtract L from both sides:

Substitute

Use the distributive property

Subtract

Multiply both sides by -1:

Having solved this type of problem with the quadratic formula, many times, I know that the greater of the two solutions gives the length and the lesser, the width: