# goemetry

The pentagons below are similar. The area of the smaller pentagon is 30m^2. What is the area of the larger pentagon in m^2?

Small pentagon is 4m and the larger one is 10m

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1. ratio of sides = 5/2
ratio of areas = (5/2)^2 = 25/4

25/4 * 30 = 187.5

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