SOLUTION: How do I find a side length of a polygon if I only know the area? I specifically need to find the side lengths of a regular pentagon with an area of 49^2 meters.

Algebra ->  Surface-area -> SOLUTION: How do I find a side length of a polygon if I only know the area? I specifically need to find the side lengths of a regular pentagon with an area of 49^2 meters.      Log On


   

Question 1026847: How do I find a side length of a polygon if I only know the area? I specifically need to find the side lengths of a regular pentagon with an area of 49^2 meters.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find a side length of a polygon if I only know the area? I specifically need to find the side lengths of a regular pentagon with an area of 49^2 meters.
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If you mean 49 sq meters:
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For any regular polygon:
Area = ns^2*cot(180/n)/4 where n = # of sides and s = side length
49 = 5s^2*cot(36)/4
s^2 = (196/5)*tan(36)
s =~ 5.3367 meters
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w/o using the formula:
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The pentagon is 5 isosceles triangles, each with a central angle of 72 degs and an area of 49/5 sq meters.