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What is the perimeter of the figure above? (Note, figure not necessari
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29 Aug 2016, 04:02
29 Aug 2016, 04:02
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Difficulty:
15%
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Question Stats:
82% (01:13) correct
18%
(01:37)
wrong
based on 182
sessions
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 13244 times ]
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Re: What is the perimeter of the figure above? (Note, figure not necessari
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06 Sep 2016, 14:47
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
Re: What is the perimeter of the figure above? (Note, figure not necessari
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29 Aug 2016, 09:24
29 Aug 2016, 09:24
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
