Question

find the area of a regular pentagon of side 8cm.

Answer 1

Answer:

One side of a pentagon = 8cm

It's perimeter = 8×5 = 40cm (∵ Pentagon has 5 sides)

Pentagon's apothem = 8/2tan(180/5) = 8/2tan36 = 8/2× 0.726 = 4/0.726 = 5.5 cm

So,the area = (perimeter × apothem) = (40×5.5) = 220 cm²

∴ Area of a pentagon with side 8cm is 220 cm²

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