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29 Aug 2016, 04:02
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:13) correct
18%
(01:37)
wrong
based on 182
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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 [ 2.53 KiB | Viewed 13447 times ]
06 Sep 2016, 14:47
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Bunuel
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)...
Let x = length of 3rd side of the right triangle...
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.....
Now that we have all of the information we need, the perimeter = 30 + 65 + 40 + 65 + 50 = 250
Answer:
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General Discussion
29 Aug 2016, 09:24
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Its E,
root(2500 -1600) = root (900) = 30
sot total perimeter = 30+65+ 40+50+65= 250
Hence Option E
root(2500 -1600) = root (900) = 30
sot total perimeter = 30+65+ 40+50+65= 250
Hence Option E
