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# The figure shows parallelogram ABCD where AB = 6, AD = y,

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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The figure shows parallelogram ABCD where AB = 6, AD = y,  [#permalink]

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05 Feb 2020, 23:45
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5% (low)

Question Stats:

93% (01:49) correct 7% (01:40) wrong based on 28 sessions

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[GMAT math practice question]

The figure shows parallelogram $$ABCD$$ where $$AB = 6, AD = y, ∠ABC = 70^o$$ and $$∠ACD = 85^o$$. If the perimeter of $$ABCD$$ is $$28$$ what is the value of $$x + y$$?

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2.6PS.png [ 11.08 KiB | Viewed 351 times ]

A. $$31$$

B. $$33$$

C. $$35$$

D. $$37$$

E. $$39$$

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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" Intern Joined: 16 Dec 2019 Posts: 38 Location: Bulgaria WE: Project Management (Manufacturing) Re: The figure shows parallelogram ABCD where AB = 6, AD = y, [#permalink] ### Show Tags 06 Feb 2020, 05:49 first angle B and D are the same and you have 2 of 3 angles thus x=180-70-85=25 P=28 AB=6 2y=28-2*6 y=8 8+25=33 Answer (B) Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8769 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The figure shows parallelogram ABCD where AB = 6, AD = y, [#permalink] ### Show Tags 09 Feb 2020, 17:25 => Since the perimeter of $$ABCD$$ is $$28$$, we have $$2(6 + y) = 28, 12 + 6y = 28, 6y = 16$$ or $$y = 8.$$ We have $$x = 180 – (70 + 85) = 25.$$ Thus, $$x + y = 25 + 8 = 33.$$ Therefore, B is the answer. Answer: B _________________ 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 parallelogram ABCD where AB = 6, AD = y,   [#permalink] 09 Feb 2020, 17:25
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