A few days ago
Anonymous

the apothem of a regular decagon is 21.7 meters and the length of each side is 14.1 meters. find the area?

geometry homework

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A few days ago
Anonymous

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((14.1 x 21.7) / 2) x 10 = 1529.85 square meters

Basically the decagon is split into 10 triangles. The base of each of these triangles is the length of one side- 14.1 meters. The height of each of these triangles is the apothem- 21.7 meters. Therefore you get the area of ONE of these triangles by doing Base x Width x Height, divided by 2. Since there are 10 triangles [one for each side of the decagon] you then multiply the whole thing by 10.

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