# The length of a rectangle is 3 centimeters less than its width. What are the dimensions of the rectangle if its area is 54 square centimeters?

##### 2 Answers

Width

Length

#### Explanation:

Let

Let area be

We then do the Discriminant of the equation:

So

So width

Length is

#### Explanation:

In this question, the length is less than the width. It does not matter at all - they are just names for the sides. Usually the length is longer, but let's go with the question.

Let the width be

The length will be

The area is found from

Factorise: Find factors of

There must be more negatives:

Solve for

the width is