# The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and width of the rectangle?

##### 1 Answer

Apr 19, 2016

#### Answer:

Length and width are 20 and 17 inches, respectively.

#### Explanation:

First of all, let us consider

Now, we know that the area of the rectangle is given by:

and it is equal to:

So we get the quadratic equation:

Let us solve it:

where

We get two solutions:

As we are talking about inches, we must take the positive one.

So:

#"Length" = x = 20 " inches"# #"Width" = y = x-3 = 17 " inches"#