Homework Help: Math

Posted by Emily on Monday, June 4, 2007 at 8:36am.

Find the area of a regular pentagon if its apothem is approximately 4 ft long and each of its sides are 5.8 ft long.

So I tried dividing the pentagon into triangles...but then I came up with the answer 24.41?

I know thats not right. Can you hLep me at all?

I will be happy to critique your work. For each triangle, you have a bse of 5.8 ft, and a vertex angle of 72 deg
That means the height of the triangle is 2.6*tan54. Then you know the area (1/2 base*height), and you finally know the total area of the pentagon (five times that area).

I get about twice what you got

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