# Originally the dimensions of a rectangle were 20cm by 23cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120cm². How do you find the dimensions of the new rectangle?

##### 1 Answer

Oct 18, 2015

#### Answer:

The new dimensions are:

#### Explanation:

Original area:

New area:

Solving the quadratic equation:

The new dimensions are: