Question

Can you explain why this is wrong? And what is the correct answer?

Answer 1

Area of a regular hexagon = perimeter x apothem x 1/2

perimeter = 6 x 18 in = 108 in.

Now to calculate the apothem, we have:

Now, using pythagoras theorem:

ap = √ (18² - 9²)

ap = 15.59 in

So, the area of the regular hexagon =

108 x 15.59 x 1/2 = 842 in²