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In the figure above, if the perimeter of ∆ VZY is 17, what is the area

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Joined: 02 Sep 2009
Posts: 50627
In the figure above, if the perimeter of ∆ VZY is 17, what is the area  [#permalink]

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06 Nov 2017, 21:48
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Difficulty:

25% (medium)

Question Stats:

87% (00:47) correct 13% (01:19) wrong based on 32 sessions

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In the figure above, if the perimeter of ∆ VZY is 17, what is the area of square region VWXY?

(A) 36
(B) 49
(C) 64
(D) 100
(E) 144

Attachment:

2017-11-07_0940_002.png [ 4.45 KiB | Viewed 573 times ]

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Re: In the figure above, if the perimeter of ∆ VZY is 17, what is the area  [#permalink]

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06 Nov 2017, 22:53
Perimeter of a traingle = sum of all three sides
So perimeter of VZY = VZ + ZY + VY = 17. This gives VY = 17-5-5 = 7

Now, VY is the side of given square. So area of square = side*side = 7*7 = 49

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Re: In the figure above, if the perimeter of ∆ VZY is 17, what is the area  [#permalink]

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08 Nov 2017, 16:45
Bunuel wrote:

In the figure above, if the perimeter of ∆ VZY is 17, what is the area of square region VWXY?

(A) 36
(B) 49
(C) 64
(D) 100
(E) 144

Attachment:
2017-11-07_0940_002.png

Since the perimeter of triangle VZY is 17, VY = side of square = 7. Thus, the area of the square is 7 x 7 = 49.

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Re: In the figure above, if the perimeter of ∆ VZY is 17, what is the area &nbs [#permalink] 08 Nov 2017, 16:45
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In the figure above, if the perimeter of ∆ VZY is 17, what is the area

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