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Mathematics 17 Online
OpenStudy (anonymous):

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

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.

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 ?

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?

OpenStudy (jdoe0001):

|dw:1412807086366:dw|

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