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.

Question

Mathematics

Alan Dominguez

15 September, 15:22

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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Cade Mccarthy · Answer 1

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