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# Find the perimeter of the rectangle ABCD, if the length and breadth ar

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Manager
Joined: 14 Sep 2015
Posts: 65
Location: India
GMAT 1: 700 Q45 V40
GPA: 3.41
Find the perimeter of the rectangle ABCD, if the length and breadth ar  [#permalink]

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22 May 2017, 23:55
2
2
00:00

Difficulty:

65% (hard)

Question Stats:

52% (01:39) correct 48% (01:11) wrong based on 66 sessions

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Find the perimeter of the rectangle ABCD, if the length and breadth are positive integers.

1. The area of rectangle $$ABCD = 56 cm^2$$
2. The greatest common factor of length and breadth is 1.
Math Expert
Joined: 02 Sep 2009
Posts: 50621
Re: Find the perimeter of the rectangle ABCD, if the length and breadth ar  [#permalink]

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23 May 2017, 00:24
1
Find the perimeter of the rectangle ABCD, if the length and breadth are positive integers.

(1) The area of rectangle $$ABCD = 56 cm^2$$ --> xy = 56. Many combinations are possible (1, 56); (2, 28); (4, 14); (7, 8); ... Not sufficient.

(2) The greatest common factor of length and breadth is 1. x and y are co-prime. Clearly not sufficient.

(1)+(2) (1, 56) and (7, 8) both satisfy the statements giving different perimeters. Not sufficient.

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Manager
Joined: 09 Dec 2015
Posts: 114
Location: India
Concentration: General Management, Operations
Schools: IIMC (A)
GMAT 1: 700 Q49 V36
GPA: 3.5
WE: Engineering (Consumer Products)
Re: Find the perimeter of the rectangle ABCD, if the length and breadth ar  [#permalink]

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24 May 2017, 00:22
Good question, makes us realize that how important number 1 is. I almost thought the length and breadth to be 7 and 4 but suddenly realized that 27 and 1 can also be the options. Both options are insufficient because of this reason. So I chose E.
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Re: Find the perimeter of the rectangle ABCD, if the length and breadth ar  [#permalink]

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28 Aug 2018, 13:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Find the perimeter of the rectangle ABCD, if the length and breadth ar &nbs [#permalink] 28 Aug 2018, 13:09
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