Three congruent kites are placed together edge-to-edge as shown. The bottom edge is 4x and the top edge is x. How much bigger than the perimeter of a one kite is the perimeter of the entire figure?
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Luis_Rivera @timo86m @kropot72 @mth3v4
OpenStudy (anonymous):
perimeter of one kite is 2x+2*4x
perimeter of whole figure is
2*4x+6x so you do a ratio
(2*4x+6x)/(2x+2*4x) that is answer
OpenStudy (anonymous):
7/5
OpenStudy (anonymous):
Just count. The entire figure has 6 small kite sides and 2 long sides. That's\[2(4x)+6(x)=14x \] One kite has 2 small sides and 2 long sides which is: \[2x+8x=10x\] The difference then becomes \(14-10x=4x\). So the large perimeter is longer by a difference of 4x than the small perimeter.
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OpenStudy (anonymous):
Well I thought the answer was 6x? No?
OpenStudy (anonymous):
Ohhh, ok! I see what I did wrong now...
OpenStudy (anonymous):
It is 4x :)
OpenStudy (anonymous):
You're right, thank you
OpenStudy (anonymous):
No problem.
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OpenStudy (anonymous):
how do i know i am right?
OpenStudy (anonymous):
cuz ur wrong. :D
OpenStudy (anonymous):
who is right?
OpenStudy (anonymous):
idk what do you think?
OpenStudy (anonymous):
7/5 is the ratio of the perimeter which means that the larger one is 1.4 times longer. But it doesn't give us the exact difference, i.e exactly by how much is it longer? And that's the question...
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