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Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have:
A = (1/2)(a)(P)
Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2).
Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula:
A = (1/2)(a)(P)
A = (1/2)(1.85)(12)
A = 11.1
Thus, the area of the decagon is 11.1.
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What is the area of a regular decagon with a side length of 7 cm and an apothem of 10.8 cm?
378 cm ^2
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The apothem and side length are not consistent. That is, a decagon with an apothem of 3.8 cm cannot have a side length of 2.5 cm.If the apothem is 3.8 cm then area = 46.9 cm2 whileif the side length is 2.5 cm then area = 48.1 cm2.The two answers agree at the tens place and so the most accurate answer is 50 cm2 to the nearest 10.
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Find the apothem of a regular polygon with an area of 625 m2 and a perimeter of 100 m.
