The diagram below shows a rectangle inside a regular hexagon. The apothem of the hexagon is 19.05 units. To the nearest square unit, what is the area of the shaded region?

Question

ffasinger · Answer

http://media.apexlearning.com/Images/200703/06/cd974e54-8410-4b24-ba8b-770e6e211546.gif

ffasinger · Answer

Ineed help quickly please

welshfella · Answer

do you know how to find the area of a hexagon given the apothem?

ffasinger · Answer

no

welshfella · Answer

you are also given the side length of the hex  which is 22.

Hexagon is made up of 6 congruent triangles 
the area of each here is 1/2 * base * height = 1/2 * 22 * 19.2

welshfella · Answer

* sorry thats 19.05

welshfella · Answer

so 6 times this is the area of the hexagon


so shaded area = area of hexagon - area of rectangle

ffasinger · Answer

ok so  209.55

welshfella · Answer

dont think so

area of hex = 6 * 1/2 * 22*19.2
area of rectangle = 18 * 22

ffasinger · Answer

i have no idea