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# What is the perimeter of the triangle OPQ? (1) The area of triangle O

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Math Expert
Joined: 02 Sep 2009
Posts: 55231
What is the perimeter of the triangle OPQ? (1) The area of triangle O  [#permalink]

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12 Sep 2018, 00:38
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Difficulty:

55% (hard)

Question Stats:

62% (01:31) correct 38% (02:21) wrong based on 31 sessions

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What is the perimeter of the triangle OPQ?

(1) The area of triangle OPQ is 50.
(2) OQ = 20

Attachment:

image010.gif [ 1.39 KiB | Viewed 417 times ]

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Re: What is the perimeter of the triangle OPQ? (1) The area of triangle O  [#permalink]

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12 Sep 2018, 08:34
1
Bunuel wrote:

What is the perimeter of the triangle OPQ?

(1) The area of triangle OPQ is 50.
(2) OQ = 20

Attachment:
The attachment image010.gif is no longer available

Question: What is the perimeter of the triangle OPQ?

NOTE: the three right angle triangles that we see in the figure are similar triangles. See attachment

Statement 1) The area of triangle OPQ is 50.
i.e. (1/2)*OQ*5 = 50
i.e. OQ = 20
hence, now we can calculate all the sides of each triangle hence
SUFFICIENT

Statement 2) OQ = 20

Using similar triangle property as mentioned in attachment we can find all sides of triangle hence
SUFFICIENT

Attachments

File comment: www.GMATinsight.com

Geometry 7 Similar Triangle Latest.jpg [ 195.88 KiB | Viewed 339 times ]

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Re: What is the perimeter of the triangle OPQ? (1) The area of triangle O   [#permalink] 12 Sep 2018, 08:34
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