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Mathematics 14 Online
OpenStudy (anonymous):

please helpppp!!pic in comments

OpenStudy (anonymous):

OpenStudy (anonymous):

So this problem is basically asking you to subtract the total area by the area which is not shaded. To do this we need the are of the hexagon. Do you know the formula?

OpenStudy (anonymous):

*area sorry typo

OpenStudy (anonymous):

You there?

OpenStudy (anonymous):

i think im suppose to find the area of the hexagon first

OpenStudy (anonymous):

Yep. Do you know the formula for this?

OpenStudy (anonymous):

Ahex=1/2Pa

OpenStudy (anonymous):

I think the formula is: \[3\sqrt{3}/2 *a ^{2}\] with a being the length of a side.

OpenStudy (anonymous):

Actually, slip up on my part. You can find the area in multiple ways. The formula I gave uses length of a side. You can also find it by treating the hexagon as 6 triangles, with the apothem as the height of the triangle, in which case the formula is A=6(1/2)(s)(a) with s being the side and a being the apothem.

OpenStudy (anonymous):

Area of shaded region= Area of Hexagon-Area of Square A= (Not sure how to find the Area of hexagon)-(21*18) A= Calculate it

OpenStudy (anonymous):

Area of hexagon= 3*18*15.59= 842 A= 842- 378= 464 Hence D.

OpenStudy (anonymous):

So all you need to do is use mrgenius' instructions and the formula for the hexagon. You gave the formula for the area of a regular polygon and in this case that will work too. So, just find the values for P = perimeter and the apothem, which we know is 15.59. So the equation thus far is: A = (1/2)(6*18)(15.59) Just solve for the substituted values.

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