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Find the area of this regular polygon. Round to the nearest tenth.

Pls help I've tried everything. It's not 245 or 241

Find the area of this regular polygon. Round to the nearest tenth. Pls help I've tried-example-1
User Kenya
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2 Answers

2 votes

Answer:

Explanation:

User Kirill Ermolov
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First we note that we have a regular polygon with 9 sides. We can split the polygon in 9 triangles with a 40 degree angle each.
We know that the area of a triangle is 1/2 bh.
The base of each triangle is sin20=2x/8.65
And the height is cos20=x/8.65
Solving for the values we can plug them in the formula Area= 9 (1/2 bh)

So the area should be equal to 216.43 mm^2 rounded to the nearest tenth.
User Mars
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