# Find the area of the regular polygon with the given apothem a and side length s. decagon, a = 10 m, s = 6.5 m

Question
Solid Geometry
Find the area of the regular polygon with the given apothem a and side length s. decagon, a = 10 m, s = 6.5 m

2021-01-29
Use the formula for the area of a regular polygon with nn sides with length ss and apothem aa:
$$\displaystyle{A}=\frac{{1}}{{2}}{a}{n}{s}$$
Substitute n=10, a=10 m, and s=6.5 m:
$$\displaystyle{A}=\frac{{1}}{{2}}{\left({10}\right)}{\left({10}\right)}{\left({6.5}\right)}$$
A=325
So, the area is 325 m^2.

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