The area of a regular octogan is 330 yd2. If the apothem is 10yd. What is the length of one side?

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the length of one side given the area of the given octagon to be 330 square yards. The formula of an octagon is

A = 2(1+√(2))a², where a is the length of each side! We plug in the area to find the length of one side such that

330 = 2(1+√(2))a² , then we distribute the 2 inside to get

330 = [2 + 2√(2)] * a² ............We then divide [2 + 2√(2)] to both sides such that

a² = 330/[2 + 2√(2)] = 8.267117865..........Then we square root both sides to obtain

a = 2.875 yards (approximately)

I hope this helped!