Assuming that the pentagon is regular, what is the area of the shaded region below? Use your calculator and round your final answer to the nearest hundredth. *PICTURE INCLUDED.*

Question

anonymous · Answer

attachment

jdoe0001 · Answer

http://www.k6-geometric-shapes.com/image-files/formula-area-pentagon-2.jpg get the area for the whole pentagon THEN substract the area of the square off it

mathstudent55 · Answer

Do you still remember the area of a regular polygon using the apothem?
Apolygon = (perimeter) * (apothem)/2
A rectangle = L * W
You need Shaded area = Apolygon - A rectangle

anonymous · Answer

yep! (I think.. lol.) Let me try it out, and i'll post my answer.

anonymous · Answer

YEAH I DO. I just don't have an apothem this time, so it's a little harder.

mathstudent55 · Answer

The apothem is right on the figure: apothem length 5.51

anonymous · Answer

@ganeshie8 can you give me an answer?

mathstudent55 · Answer

The area of a regular polygon is 
$A = \dfrac{aP}{2} $

where A = area
a = apothem length
P = perimeter

Here you are given that the apothem length is 5.51.
The side is 8, so you can find the perimeter.

Then find the area of a square with a side of 8.

Finally, subtract the area of the square from the area of the pentagon.