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GRE Math Challenge #62- figure above, M, N, and P are
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03 May 2015, 01:18
03 May 2015, 01:18
Expert Reply
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Question Stats:
76% (01:04) correct
23% (01:05) wrong based on 21 sessions
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In the figure above, M, N, and P are midpoints of the sides of an equilateral triangle whose perimeter is 18. What is the perimeter of the shaded region?
A. 2
B. 3
C. 4.5
D. 6
E. 9
Show: :: OA
E
Re: GRE Math Challenge #62- figure above, M, N, and P are
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01 Dec 2017, 12:52
01 Dec 2017, 12:52
Expert Reply
Explanation
Considering we do have an equilater triangle, all sides are equal in lenght. If the perimeter of the big triangle is 18, then each side is long 6.
Considering that the big one is divided actually into 4 equal smal triangles and M N and P are the midpoints, every side of the small ones is 3.
As such, the perimeter of the inside triangle is 9.
Answer is E
Considering we do have an equilater triangle, all sides are equal in lenght. If the perimeter of the big triangle is 18, then each side is long 6.
Considering that the big one is divided actually into 4 equal smal triangles and M N and P are the midpoints, every side of the small ones is 3.
As such, the perimeter of the inside triangle is 9.
Answer is E
gmatclubot
Re: GRE Math Challenge #62- figure above, M, N, and P are [#permalink]
01 Dec 2017, 12:52
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