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What is the perimeter of the figure above? (Note, figure not necessari

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What is the perimeter of the figure above? (Note, figure not necessari  [#permalink]

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New post 29 Aug 2016, 03:02
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:20) correct 17% (01:46) wrong based on 143 sessions

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GMAT 1: 770 Q49 V46
Re: What is the perimeter of the figure above? (Note, figure not necessari  [#permalink]

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New post 06 Sep 2016, 13:47
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Bunuel wrote:
Image
What is the perimeter of the figure above? (Note, figure not necessarily drawn to scale.)

A. 155
B. 185
C. 220
D. 235
E. 250

Attachment:
2016-08-29_1501.png


Let's start by adding an auxiliary line that divides the shape into 2 pieces that we can work with (rectangle and right triangle)...
Image

Let x = length of 3rd side of the right triangle...
Image
Since the highlighted triangle is a RIGHT TRIANGLE, we can apply the Pythagorean Theorem.
We get: x² + 40² = 50²
Evaluate to get: x² + 1600 = 2500
So, x² = 900, which means x = 30

Alternatively, we might recognize that the highlighted triangle is a version of the 3-4-5 right triangle, except the highlighted triangle is 10 TIMES bigger than the standard 3-4-5 right triangle, which means the missing side (x) has length 30.....
Image

Now that we have all of the information we need, the perimeter = 30 + 65 + 40 + 65 + 50 = 250
Answer:

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Re: What is the perimeter of the figure above? (Note, figure not necessari  [#permalink]

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New post 29 Aug 2016, 08:24
Its E,

root(2500 -1600) = root (900) = 30
sot total perimeter = 30+65+ 40+50+65= 250

Hence Option E
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Re: What is the perimeter of the figure above? (Note, figure not necessari  [#permalink]

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New post 29 Dec 2019, 10:43
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Re: What is the perimeter of the figure above? (Note, figure not necessari   [#permalink] 29 Dec 2019, 10:43
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