# The diagonal of a rectangle is 13 inches. The length of the rectangle is 7 inches longer than its width. How do you find the length and width of the rectangle?

##### 1 Answer

Oct 15, 2015

Let's call the width

#### Explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

A simple quadratic equation resolving into:

Only the positive solution is useable so:

**Extra** :

The (5,12,13) triangle is the second-simplest Pythagorean triangle (where all sides are whole numbers). The simplest is (3,4,5). Multiples likes (6,8,10) don't count.