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29 Aug 2016, 04:02
Kudos
Bookmarks
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 187
sessions
History
Date
Time
Result
Not Attempted Yet
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 14186 times ]
06 Sep 2016, 14:47
Kudos
Bookmarks
Bunuel
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
Kudos
Bookmarks
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
