Find the area of the regular pentagon with apothem 3.5 in and side length of 6 in.
Show work
First, we need to find the perimeter of the pentagon, which is given by:
P = 5s where s is the length of a side
P = 5(6)
P = 30 in
Next, we need to find the area using the formula:
A = (1/2)ap where a is the apothem and p is the perimeter
A = (1/2)(3.5)(30)
A = 52.5 square inches
Therefore, the area of the regular pentagon is 52.5 square inches.