# A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet. The width of the banner is #1/4# the length of the banner. What are the dimensions of the banner?

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Tony B
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Mar 11, 2016

#### Answer:

Width is 6; Length is 24

#### Explanation:

Key points:

Rectangle shape

Area

Width =

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

Let the area be

Let the width be

Let the length be

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

Known:

Given:

Substitute (2) into (1) giving

Multiply both sides by 4

Taking the square root of each side

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

But L=24 so we have

Divide both sides by 24

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