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saran3h
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Gmat Prep Practice Exam 6 - How to solve this quant question? Updated on: 03 Jul 2016, 05:43
Originally posted by saran3h on 03 Jul 2016, 05:18.
Last edited by saran3h on 03 Jul 2016, 05:43, edited 1 time in total.
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Please see the attachment.
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quant-5.jpg [ 234.86 KiB | Viewed 2368 times ]

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Gmat Prep Practice Exam 6 - How to solve this quant question? 03 Jul 2016, 05:24
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Let x be the side of the square. X/5 is the short side of the rectangle. So 2x+2x/5=30. So 2x=25. The perimeter of the square is 4x=50.

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Gmat Prep Practice Exam 6 - How to solve this quant question? 03 Jul 2016, 05:31
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saran3h
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Nyc question...

Ans is 50

Assume side of square is X.

Now, width of each rectangle is b
Length is l

Perimeter of rectangle is 2(l+b)=30

Thus,. l + b =15. ( Eqn 1)

We know side of square and length of rectangle is same and each side of sq is of same length

Thus we can say 5b = l

From eqn 1, 6b=15

b= 5\2

l = 5b = X

Thus, X = 25\2

Perimeter of sq = 4X = 50


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Gmat Prep Practice Exam 6 - How to solve this quant question? 03 Jul 2016, 05:32
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Let length of one rectange be L.
Let breadth of one rectangle be B.

Given 2(L+B) = 30 ---> L+B =15 ..(1)
also since overall figure is a square, implies Length of square = 5*breadth of one rectangle.
hence L = 5B .... (2).

Solving these 2 gives B = 2.5

Hence perimeter of square = 4*L = 4*5*B = 50.

Pleas give kudos if this all makes sense ! :)
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Gmat Prep Practice Exam 6 - How to solve this quant question? 03 Jul 2016, 10:23
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breaking it in 5 pieces, ull get
2L+2B=30
L+2B=30
L+2B=30
L+2B=30
L+2B=30
making it
6L+6B=150
2L+2B=50

Is this approach correct?
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Gmat Prep Practice Exam 6 - How to solve this quant question? 03 Jul 2016, 14:33
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Hi saran3h,

Since this is a PS question, you really should have posted it in the PS sub-forum here:

gmat-problem-solving-ps-140/

That having been said, you can solve this question rather easily by TESTing THE ANSWERS. When using that Tactic, you typically start with either Answer B or Answer D. Since Answer D is the 'nicer' number, let's TEST THAT ANSWER....

Answer D: 50

IF.... the perimeter of the square is 50, then each side is 50/4 = 12.5

Since the 5 rectangles are all the SAME size, the length of each rectangle is 12.5 and the width of each rectangle is 12.5/5 = 2.5

In this situation, the perimeter of each rectangle would be 12.5 + 12.5 + 2.5 + 2.5 = 30. This is an exact MATCH for what we were told, so this MUST be the answer!

Final Answer:
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D

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