# How do you find the area of a rectangle whose diagonal measure 12 inches and whose width measures 6 inches?

##### 1 Answer

Apr 28, 2016

Area = width x height

#### Explanation:

Let the width be

Let the height be

Let the diagonal be

Using Pythagoras

We need to determine the value of

Subtract

But

Square root both sides

But

Substituting known values

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Finding the exact value

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Area = width x height