SOLUTION: If the length and width of a rectangle are both doubled, find the ratio of the area of the new rectangle to the area of the original rectangle. Prove your assertion.

Algebra ->  Rectangles -> SOLUTION: If the length and width of a rectangle are both doubled, find the ratio of the area of the new rectangle to the area of the original rectangle. Prove your assertion.       Log On


   

Question 443905: If the length and width of a rectangle are both doubled, find the ratio of the area of the new rectangle to the area of the original rectangle. Prove your assertion.
Answer by solver91311(24713) About Me  (Show Source):
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4:1

Let represent the width of the original rectangle. Let represent the length of the original rectangle. The area of the original rectangle is then

Then the width of the new rectangle is and the length of the new rectangle is . The area of the new rectangle is

John

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