A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

plug the values

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Distribute 2 through the parentheses

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Swap the sides of the equation

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Move 2w to right hand side and change it's sign

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Subtract 40 from 64

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Divide both sides of the equation by 2

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Calculate

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Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

plug the values

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Multiply the numbers : 20 and 12

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Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

step-by-step explanation:

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