# The diagonal of a rectangle is 13 meters. The length is 2 meters more than twice the width. What is the length?

##### 1 Answer

Length is

#### Explanation:

We can use the Theorem of Pythagoras.

Let the width be

The length is then

By Pythagoras' Theorem:

Find factors of 5 and 165 which subtract to give 8

Note that

If

We could also have guessed at this outcome using the

Pythagorean triples... 13 is a clue!

The common triples are:

Note that