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

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**A.**9

**B.**13.5

**C.**27

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

Answers to choose from:

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Salt Lake City, UT

Cody,

When a shape's area is 9 times as great, the one dimension difference is √9=3 times as great. Therefore the length of all sides are 3 times of the corresponding sides of the original shape. The shortest side in the original shape is 3, the larger one is 3 times of that, which is 9.

General rule, if a similar shape is x times ratio in terms of sides, the area will be x^2 times the original.

Hope it helps.

Heng

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