Answer:
The of the pentagon is A=232.48cm²
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, a pentagon
Now given the apothem the area can be expressed as
A=a²n tan (180/n)
where
a = the length of the apothem (in radius)
n = the number of sides= 5 for pentagon
tan is the tangent function calculated in degrees
Substituting our given data we can solve for the area A
A= 8²*5 tan (180/5)
A= 64*5 tan 36
A= 320tan 36
A= 320*0.7265
A=232.48cm²
