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.
http://assets.openstudy.com/updates/attachments/51d353d7e4b08d0a48e4a7a1-apexwhatt-1372804086040-fger.jpg
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OpenStudy (jdoe0001):
|dw:1412806206478:dw| get the are of the pentagon
get the area of the square inside it
then subtract the the square area from the pentagon's
and what's left would be the shaded area
OpenStudy (anonymous):
64 - 64 = 0 ?
OpenStudy (jdoe0001):
64-64? wassat?
OpenStudy (anonymous):
Look at the picture, both are 8 so i got area of the inside square and outside shape and minus
OpenStudy (anonymous):
So what would the answer be then? i dont understand.
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OpenStudy (jdoe0001):
well... what's the area of the pentagon?
yes... the area of the square is 8 * 8 = 64
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
The answer is 64?
OpenStudy (jdoe0001):
for the square area, yes
for the shaded one... dunno
what did you get for the pentagon's area?
notice is just 1/2 * apothem * perimeter
OpenStudy (anonymous):
1/2 * 5.51 * 32 ?
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OpenStudy (jdoe0001):
well. is a PENTAgon... so 5 sides
8+8+8+8+8 \(\ne 32\)
OpenStudy (jdoe0001):
the perimeter is the SUM of all sides
OpenStudy (anonymous):
Ah, so 40?
OpenStudy (anonymous):
64 - 40 = 24 ??
OpenStudy (anonymous):
So 24 would be the answer, correct?
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