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What is the perimeter of the figure above" ?
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08 Apr 2020, 05:26
08 Apr 2020, 05:26
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Question Stats:
92% (01:11) correct
7% (03:21) wrong based on 13 sessions
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What is the perimeter of the figure above?
(A) 380
(B) 360
(C) 330
(D) 300
(E) 230
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: What is the perimeter of the figure above" ?
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08 Apr 2020, 06:30
08 Apr 2020, 06:30
Carcass wrote:
What is the perimeter of the figure above?
(A) 380
(B) 360
(C) 330
(D) 300
(E) 230
Kudos for the right answer and explanation
Draw a perpendicular line as follows:
From here, we have two different ways to find the value of x
Approach #1: Recognize that 60 and 100 are each 20 times the lengths of the basic 3-4-5 right triangle.
That is (20)(3) = 60 and (20)(5) = 100
So, x = (20)(4) = 80
Approach #2: Apply the Pythagorean theorem
We get: 60² + x² = 100²
Simplify: 3,600 + x² = 10,000
Subtract 3,600 from both sides to get: x² = 6,400
Solve: x = 80
At this point we can find the perimeter....
Perimeter = 60 + 70 + 100 + 80 + 70 = 380
Answer: A
Cheers,
Brent
gmatclubot
Re: What is the perimeter of the figure above" ? [#permalink]
08 Apr 2020, 06:30
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