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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
The square region shown has been partitioned into 5 identical rectangu
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26 Jul 2022, 01:53
26 Jul 2022, 01:53
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The square region shown has been partitioned into 5 identical rectangular regions. If the perimeter of each of the rectangular regions is 30, what is the perimeter of the square region?
A) 150
B) 146
C) 120
D) 50
E) 46
Re: The square region shown has been partitioned into 5 identical rectangu
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27 Jul 2022, 14:03
27 Jul 2022, 14:03
Expert Reply
Call the smaller side of each rectangular b, and side of square "a".
we know that 2(a+b) = 30 and we also know that b is 1/5 of a.
so 2(a+1/5a)=30
a+1/5a = 15 (multiply both sides by 5)
6a = 80
a = 13 (approximately) then the perimeter would be 4xa = 52 (Answer D is closest)
we know that 2(a+b) = 30 and we also know that b is 1/5 of a.
so 2(a+1/5a)=30
a+1/5a = 15 (multiply both sides by 5)
6a = 80
a = 13 (approximately) then the perimeter would be 4xa = 52 (Answer D is closest)
gmatclubot
Re: The square region shown has been partitioned into 5 identical rectangu [#permalink]
27 Jul 2022, 14:03
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