# A rectangle has a diagonal with length 8 centimeters, its length is 4 centimeters greater than the width, how do you find the length and width of the rectangle?

##### 1 Answer

Mar 15, 2018

#### Answer:

The width is

The length is

#### Explanation:

The angles of a rectangle are

A diagonal bisects the rectangle and forms two right-angled triangles.

The width is the shorter side, let it be

The length is

The diagonal is the hypotenuse of the triangle and has a length of

Use Pythagoras' Theorem to write an equation:

Solve by completing the square.

The width is

The length is