Question 427406: What must happen to each side of a figure in order to have an area that is 25 times larger than the original figure?
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! Assuming the figure is rectangular in nature, then both sides have to be increased by a factor of 5. Say we have a rectangle with sides X and Y. Then the area of such a figure would be:
XY = A
Multiplying both X and Y by 5, we get:
(5X)(5Y) = 25(XY) = 25 A.
Similarly, if the figure is a circle, we multiply the radius by 5.
Area = pi*r^2
25 * Area = pi (5r)^2
Area * 25 = pi*25(r)^2
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