# Geometry

The sides of a quadrilateral are 3, 4, 5, and 6. What is the length of the shortest side of a similar quadrilateral whose area is 9 times as great?

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1. The area of similar figures is proportional to the square of their sides.
So let the shortest side of the second quad be x

x^2/3^2 = 9A/A
x^2/9 = 9/1
x^2 = 81
x = 9

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posted by Reiny

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