Exams › SSC CGL (Prelims) › General

Two regular polygons have the same number of sides, and the ratio of their areas is 4:9. What is the ratio of the lengths of their sides?

1. 2:3
2. 4:5
3. 1 : root 2
4. 2 : root 5

Correct answer: 2:3

Solution

Regular polygons with the same number of sides are similar, so the ratio of their areas equals the square of the ratio of their sides. Taking square roots of 4:9 gives 2:3.

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