what is the area of a regular pentagon with a side of 12 in.
To find the area of a regular pentagon, we can use the formula:
Area = (1/4) * sqrt(5(5+2*sqrt(5))) * s^2
Where s is the length of a side of the pentagon.
Plugging in the given side length of 12 inches, we get:
Area = (1/4) * sqrt(5(5+2*sqrt(5))) * 12^2
Area = (1/4) * sqrt(5(5+2*sqrt(5))) * 144
Area = (1/4) * sqrt(5(5+2*sqrt(5))) * 144
Area ≈ 694.66 square inches
Therefore, the area of a regular pentagon with a side length of 12 inches is approximately 694.66 square inches.