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alimad
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I get E (72 inches)

the top triangle is equilateral -> 2x
the right angled triangles give 1.5x each (x + x*cos(60 degrees)) = 1.5x each
the bottom of the square is x

2x + 2*1.5x + x = 6x = 72
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GMATBLACKBELT
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alimad
Please help me understand this issue. thanks

dont have paint on my office comp. so... heres how i work it.

If you notice above the triangle, another smaller equilateral triangle is created. thus each side is X or 12 inches.

Also notice to either side of the square are two 30,60,90 triangles. w/ one side as x. Lets say the smallest side is z.

Thus the perimeter of the entire triangle is 3x+6z. (we get the third x from the bottom of the square, the two z's to either side of this bottom x. the then 2z's come from the hypotenous of our 30,60,90 triangle.)

zsqrt3=x thus z=x/sqrt3 or 4sqrt3 Now its just plug in. 3(12)+ 6(4sqrt3) --> 36+24sqrt3


D
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maratikus
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maratikus
I get E (72 inches)

the top triangle is equilateral -> 2x
the right angled triangles give 1.5x each (x + x*cos(60 degrees)) = 1.5x each
the bottom of the square is x

2x + 2*1.5x + x = 6x = 72

the right angled triangles give 1.5y each (y + y*cos(60 degrees)) = 1.5y each , where y*sin(60) = x -> y = x*2/sqrt(3)
therefore, 1.5y = x*sqrt(3)

2x+2*x*sqrt(3)+x = 3x+2xsqrt(3) = 36 + 24sqrt(3) -> D
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kidderek
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QUICK ANSWER:

Since x= 12, then the perimeter of the upper shaded triangle = 36.

Since only diagonals count, you have 24 there. Then on the unshaded portion of the base is also 12. Therefore, the perimeter of the LARGE triangle is some number(with a sqrt3 since 30-60-90 triangles are involved) + 36.

Only answer choice that is possible is D)24sqrt3 + 36



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