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# The figure shows rectangle ABCD which consists of 7 congruent small re

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8583
GMAT 1: 760 Q51 V42
GPA: 3.82
The figure shows rectangle ABCD which consists of 7 congruent small re  [#permalink]

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12 Dec 2019, 01:59
00:00

Difficulty:

55% (hard)

Question Stats:

59% (02:35) correct 41% (02:45) wrong based on 39 sessions

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[GMAT math practice question]

The figure shows rectangle $$ABCD$$ which consists of $$7$$ congruent small rectangles. The area of $$ABCD$$ is $$336m^2$$. What is the perimeter of $$ABCD$$?

Attachment:

12.12PS.png [ 10.61 KiB | Viewed 528 times ]

A. $$72$$

B. $$74$$

C. $$76$$

D. $$78$$

E. $$80$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Status: Manager Joined: 27 Oct 2018 Posts: 849 Location: Egypt Concentration: Strategy, International Business GPA: 3.67 WE: Pharmaceuticals (Health Care) Re: The figure shows rectangle ABCD which consists of 7 congruent small re [#permalink] ### Show Tags 12 Dec 2019, 08:12 for each of the 7 rectangles, let the smaller side = x , and the longer side = y it can be easily noticed from the diagram that $$3y = 4x$$ The area of the rectangle = $$(x+y)(3y) = 336$$ $$4x(x+\frac{4x}{3}) = 336$$ x = 6, and y = 8 so perimeter = 76 C Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8583 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The figure shows rectangle ABCD which consists of 7 congruent small re [#permalink] ### Show Tags 15 Dec 2019, 17:25 => We can put unknown variables $$x$$ and $$y$$ in the following figure. Attachment: 12.12ps(a).png [ 13.06 KiB | Viewed 376 times ] We have $$4x = 3y$$ or $$y = (\frac{4}{3})x$$ and $$7xy = 336$$ or $$xy = 48.$$ Substituting $$y = (\frac{4}{3})x$$ into $$xy = 48$$ gives us $$x(\frac{4}{3})x = 48, \frac{4x^2}{3} = 48, x^2 = 36,$$ and $$x = 6.$$ Then $$xy = 48$$ becomes $$6y = 48$$ and $$y = 8.$$ We have $$x = 6$$ and $$y = 8.$$ So, the perimeter is $$2(x + y + 4x) = 10x + 2y = 10*6 + 2*8 = 60 + 16 = 76.$$ Therefore, C is the answer. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: The figure shows rectangle ABCD which consists of 7 congruent small re  [#permalink]

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09 Jan 2020, 04:57
MathRevolution wrote:
[GMAT math practice question]

The figure shows rectangle $$ABCD$$ which consists of $$7$$ congruent small rectangles. The area of $$ABCD$$ is $$336m^2$$. What is the perimeter of $$ABCD$$?

Attachment:
12.12PS.png

A. $$72$$

B. $$74$$

C. $$76$$

D. $$78$$

E. $$80$$

Pretty Innovative Question and the moment you see the first step of Official Solution you can solve on your own

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Re: The figure shows rectangle ABCD which consists of 7 congruent small re   [#permalink] 09 Jan 2020, 04:57
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