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24 March, 22:07

A regular pentagon has side length 12 cm. the perimeter of the pentagon is 60 cm and the area is 247.7 cm2. a second pentagon has side lengths equal to 18 cm. find the area of the second pentagon. round to the nearest tenth.

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  1. 25 March, 01:26
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    Pentagon 1: S1 = 12 cm, P = 60 cm Area = A1 = 247.7 cm^2

    Pentagon 2: S2 = 18 cm Area = A2

    Small pentagon is 12cm and the larger one is 18cm

    ratio of sides = 12/18 = 2/3 S1/S2

    ratio of areas = (2/3) ^ 2 = 4/9

    A2 = 4/9 * 247.7 = 110.08 cm2
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