# The perimeter of a rectangle is 41 inches and its area is 91 square inches. How do you find the length of its shortest side?

##### 1 Answer

Jul 18, 2015

Use the conditions expressed in the question to form a quadratic equation and solve to find the lengths of the shortest (

#### Explanation:

Suppose the length of one side is

Since the perimeter is

The area is:

Multiply both sides by

Subtract the right hand side from the left to get:

Use the quadratic formula to find:

That is

So the shortest side is length