# How do you find the dimensions of a rectangle if the length is 1 more than twice the the width and the area is 55 m?

##### 1 Answer

The wide is 5m and the length is 11m.

#### Explanation:

First, let's have the width represented by

We know the area of a rectangle is:

We are also told the length is 1 more than twice the width so we can write"

Substituting this into the formula for area along with the given area of 55 gives:

55 = w*(2w + 1)#

Solving this gives:

We can now solve each term for 0:

and

Because the width of a rectangle must be positive the width of this rectangle is

Substituting