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Suppose a rectangle has a base x and a side y. The equation for the area A of a rectangle is A=x*y. Quadrupling both side and base means both are now 4x and 4y. Now, the new area, which I shall call A' will be described by the formula A'=4x*4y, which turns into A'=16xy. In the end, the new area is equal to sixteen times the original area. Try it with any possible combination of numbers, should always give sixteen times the original area, as long as you are only quadrupling the original lengths.

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Q: How does quadrupling the lengths of a rectangle affect its area?
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