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

## Answer this Question

## Related Questions

- Multivariable Calculus - A pentagon is formed by placing an isosceles triangle ...
- math - The apothem of a regular polygon is the distance from the center to any ...
- Geometry - Hi, I'm having a difficult time understanding a couple of Geometry ...
- Math--Area - Find the area of each regular polygon to the nearest tenth. Octagon...
- Math - Which of the following is true if a pentagon tessellates a plane? a. A ...
- math 8th grade - One of a pentagon's sides is 3 feet longer than the other. If ...
- math 8th grade - One of a pentagon's sides is 3 feet longer than the other. If ...
- Trig-Algebra help asap - A regular pentagon is inscribed in a circle whose ...
- Math - How do you find the value of x for a regular pentagon with its sides ...
- geometry - A pentagon is a geometric figure with 5 sides. The lengths of the ...

More Related Questions