Question

If each polygon has 12 sides and each side length was 20 cm what is the area

Answer 1

Answer: approximately 4478.46096908264 square cm.

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Step-by-step explanation:

I'm assuming this is a regular 12-sided polygon

The area formula for regular polygons is

`A = 0.25n*s^2*\cot(180/n)`

where in this case we have n = 12 sides and each side is of length s = 20

So,

`A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*12*(20)^2*\cot(180/12)\\\\A = 0.25*12*(20)^2*\cot(15)\\\\A = 0.25*12*(20)^2*(1)/(\tan(15))\\\\A \approx 4478.46096908264\\\\`

The area of this regular polygon is approximately 4478.46096908264 square cm.

Make sure your calculator is in degree mode when computing that value of cot(15) or 1/tan(15).