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# In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3),

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In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink]

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13 Nov 2017, 01:12
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85% (hard)

Question Stats:

49% (02:07) correct 51% (02:56) wrong based on 43 sessions

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[GMAT math practice question]

In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), C(-1,7), and D(3,7). If a line passing through the origin bisects the area of the rectangle ABCD, what is the slope of the line?

A.5
B. 6
C. 7
D. 8
E. 9
[Reveal] Spoiler: OA

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"Only $79 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 17 Oct 2016 Posts: 327 Location: India Concentration: Operations, Strategy GPA: 3.73 WE: Design (Real Estate) Re: In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink] ### Show Tags 13 Nov 2017, 01:48 Option A The rectangle is a square of side 4. Area =16 units. By drawing it on a paper the area can be divided into half by a line that makes a trapezium. Area of trapezium =1/2*h*(a+b) which in this case should be equal to 8. Solving h(a+b)=16. Here h=4. a+b=4. The only possible case is a=1.6 and b=2.4. When a=1.6 slope is 3/0.6. Hence 5 Sent from my iPhone using GMAT Club Forum mobile app _________________ Help with kudos if u found the post useful. Thanks Intern Joined: 20 May 2017 Posts: 4 Re: In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink] ### Show Tags 13 Nov 2017, 03:44 Sent from my Redmi Note 4 using GMAT Club Forum mobile app Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5048 GMAT 1: 800 Q59 V59 GPA: 3.82 In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink] ### Show Tags 15 Nov 2017, 01:51 2 This post received KUDOS Expert's post 2 This post was BOOKMARKED => The line should pass through the center of the rectangle ABCD. Then the center is $$(\frac{-1+3}{2}, \frac{3+7}{2})$$ or $$(1,5)$$ The slope of the line passing though $$(0,0)$$ and $$(1,5)$$ is $$\frac{5-0}{1-0}=5$$. Therefore, the answer is A. Answer : A _________________ 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 3 month Online Course"
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In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3),   [#permalink] 15 Nov 2017, 01:51
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# In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3),

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