SOLUTION: If you double all of the sides of a square by what percentage has the area increased?

Question 391117: If you double all of the sides of a square by what percentage has the area increased?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
original area =
new area =
==> percentage increase is %.
You stated: "When we divide a whole number by a FRACTION [caps mine], our answer is larger than we started with. Explain why."
In fact, this is true only if the dividing FRACTION is between 0 and 1 exclusive, and the number we're dividing is positive.
Let a, b be positive integers, and let a > b, so that b/a < 1.
Then by a multiplicative property of inequality.
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