Gmat Prep Practice Exam 6 - How to solve this quant question?

Question

Please see the attachment.

HanoiGMATtutor · Answer

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.

Posted from my mobile device

Nick90 · Answer

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

Kudos pls

Sent from my Le X507 using  GMAT Club Forum mobile app

RaghavSingla · Answer

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 !

paidlukkha · Answer

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?

EMPOWERgmatRichC · Answer

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:

Show Spoiler

D

GMAT assassins aren't born, they're made,
Rich

	Target Test Prep - Save up to $599 $400 Discount + $99 Bonus GMAT Club Tests
	e-GMAT: 60% Off on GMAT Focus Get to 735+ from any starting point
	Magoosh increases your score, guaranteed - 15% off ALL Magoosh GMAT plans with code GMATCLUB15 + Free GMAT Club Tests.
	Manhattan Prep: $99 Bonus Score Higher on Your GMAT Exam. Guaranteed.
	Experts' Global - ~~$1720~~ $960 End-to-End GMAT Prep + App Support: 150+ Videos, 2000+ Questions, 15 FLTs +
	GMATWhiz - $299 ~~$499~~ Experience the course through a free trial.
	GMAT Club Tests - Free Included with every course purchase of $149+ View all deals

Gmat Prep Practice Exam 6 - How to solve this quant question?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards