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If each of the two dimensions of a rectangle is increased by 100%, by what percentage is the area increased?

 Jun 3, 2020
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If the original length is x and the original width is y, then the area will be:  A  =  xy.

If you increase the length by 100%, you are doubling the length to 2x.

If you increase the width by 100%, you are doubling the width to 2y.

The new area will be:  A = 2x·2y = 4xy.

 

The increase in area will be:  4xy - xy  =  3xy.

The percentage increase will be:  3xy / xy = 3, or 300%.

 Jun 3, 2020

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