Hey there!
The formula for the perimeter of a regular polygon:
P = sn
Where P is perimeter, s is side length, and n is number of sides.
Since this is a pentagon, n is 5. The side length is given: 6.
So, P = 6 x 5.
Multiply.
This means the perimeter is 30.
The formula for the area of a regular polygon:
A = 1/2Pa
Where P is perimeter and a is apothem.
We already found perimeter, which is 30, and the apothem is given, 7.
So, A = 1/2 x 30 x 7
Multiply.
The area of the pentagon is 105.
Hope this helps!
