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Mathematics 21 Online
OpenStudy (anonymous):

What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.

OpenStudy (anonymous):

OpenStudy (igreen):

Find the area of the hexagon.

OpenStudy (igreen):

\(\sf A = \dfrac{6ar}{2}\) Where 'a' is the side length and 'r' is the apothem length.

OpenStudy (anonymous):

\[SO? THAT WOULD BE a=\frac{ 1 }{ 2 }(6 \times20)(17.32)\]

OpenStudy (igreen):

So we have: \(\sf A = \dfrac{6(20)(17.32)}{2}\)

OpenStudy (igreen):

No, that's a different formula for the heptagon.

OpenStudy (anonymous):

ohhh

OpenStudy (igreen):

What do you get?

OpenStudy (anonymous):

hold up

OpenStudy (anonymous):

how do i solve that hahah?

OpenStudy (igreen):

Multiply 6 * 20 * 17.32 then divide by 2.

OpenStudy (anonymous):

oh....

OpenStudy (anonymous):

1039.2

OpenStudy (igreen):

Yes, now find the area of the rectangle and subtract it form that. A = lw A = (20)(16)

OpenStudy (anonymous):

719.2

OpenStudy (igreen):

Correct, that's our answer.

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