Posted by Tyler on .
Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer.
Question 1: A regular pentagon has an apothem of 3.2 m and an area of 37.2 m². What is the length of one side of the pentagon?
Question 2: A regular hexagon has perimeter 60 in. What is the hexagon's area?
Please and thank you!

Geometry 
Steve,
area = 1/2 perimeter * apothem
37.2 = 1/2 * 3.2p
p = 23.25
p=5s, so s=4.65
p=6s, so s=10
we have 306090 triangles to form apothems, so
a = 5*sqrt(3) = 8.66
area = 1/2 * 8.66 * 60 = 259.8