brewilkinson03 brewilkinson03

26-03-2016
Mathematics

Answered

(10 points)

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

Verified Answer :

Anonymous Anonymous

26-03-2016

There is a mathematical formula which relates these quantities, given by:

\(A= \frac{P\times a}{2}\)

Using this, we have:

\(A= \frac{P\times a}{2} \\ 484= \frac{(10n)\times 12.1 }{2} \\ \boxed {n=8}\)

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