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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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In the xycoordinate plane there are 4 points A(2,0), B(4,0), C(4,2),
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14 Aug 2017, 01:29
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In the xycoordinate plane there are 4 points A(2,0), B(4,0), C(4,2), and D(2,2). If the line which passes through an origin bisects the area of the rectangle ABCD, what is the slope of the line? A. \(\frac{1}{2}\) B. \(\frac{1}{3}\) C. \(\frac{1}{4}\) D. \(\frac{1}{5}\) E. \(\frac{1}{6}\)
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Re: In the xycoordinate plane there are 4 points A(2,0), B(4,0), C(4,2),
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14 Aug 2017, 02:26
MathRevolution wrote: In the xycoordinate plane there are 4 points A(2,0), B(4,0), C(4,2), and D(2,2). If the line which passes through an origin bisects the area of the rectangle ABCD, what is the slope of the line? A. \(\frac{1}{2}\) B. \(\frac{1}{3}\) C. \(\frac{1}{4}\) D. \(\frac{1}{5}\) E. \(\frac{1}{6}\) A line can divide the area of rectangle into two equal parts only if it passes through the centre of quadrilateral as shown in figure... Hence one of the points that the line will pass through will be midpoint of the diagonal [(2+4)/2 , (0+2)/2] = (3,1) Another point that line is passing through is oriin i.e. (0,0) hence slope = (10) / (30) = 1/3 Answer: Option B
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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5866
GPA: 3.82

Re: In the xycoordinate plane there are 4 points A(2,0), B(4,0), C(4,2),
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16 Aug 2017, 02:42
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The line should pass through the center (3,1) of the square ABCE. Thus its slope is 1/3. Ans: B
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Re: In the xycoordinate plane there are 4 points A(2,0), B(4,0), C(4,2), &nbs
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16 Aug 2017, 02:42






