What is the area of regular pentagon with a side of 12 inches? round the answer to the nearest 10th.

The area would be 247.8 sq. in.

We start out finding the length of the apothem.  The apothem of a regular polygon is given by 



where s is the side length and n is the number of sides.  Using our information, we have


Now we find the area of the polygon using the formula:
A = n(1/2)(b)(h), where n is the number of sides, b is the side length, and h is the length of the apothem:

A = 5(1/2)(8.26)(12) = 247.8

21 is the answer the answer is 21