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27 August, 09:26

A certain regular polygon has sides of length 10 cm; its apothem is 12.1 cm. The polygon's area is 484 cm². How many sides does the polygon have?

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  1. 27 August, 09:42
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    First, we need to know the area of one triangle of that polygon.

    We have apothem 12.1 cm

    Length of one side is 10cm

    Area = bh/2

    Area = 10*12.1 / 2

    Area = 60.5 cm^2

    Let us get the number of polygons by

    = 484 / 60.5

    = 8

    So the polygon has 8 sides.
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