# The perimeter of a rectangle is 24 ft. Its length is five times its width Let x be the length and y be the width. What is the area of the rectangle?

##### 2 Answers

#### Explanation:

Perimeter is

Width

Length

So perimeter is

But Length =

So

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

Substitute equation (2) into equation (1) giving:

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

Substitute (3) into (2) giving:

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

Check

#### Explanation:

In the statement length is said to be

So,

We can assume

Then perimeter=

So,the width=

Then length=

Area of rectangle =