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# The two adjacent vertices of a quadrilateral are (2, 3), (8, 3)- GMAT

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Intern
Joined: 01 Oct 2018
Posts: 13

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24 Dec 2018, 23:50
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The two adjacent vertices of a quadrilateral are (2, 3), (8, 3). If the third and the fourth vertices of the quadrilateral are (x, y) and (a, b), for how many pairs of non negative integer values of (x, y) and (a, b), the quadrilateral will be a parallelogram of area at least 12 sq. units and at most 30 sq. units?
a) 6
b) 12
c) 16
d) 20
e) More than 20
Math Expert
Joined: 02 Sep 2009
Posts: 58408

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24 Dec 2018, 23:52
Nikhitaarorah wrote:
The two adjacent vertices of a quadrilateral are (2, 3), (8, 3). If the third and the fourth vertices of the quadrilateral are (x, y) and (a, b), for how many pairs of non negative integer values of (x, y) and (a, b), the quadrilateral will be a parallelogram of area at least 12 sq. units and at most 30 sq. units?
a) 6
b) 12
c) 16
d) 20
e) More than 20

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Re: The two adjacent vertices of a quadrilateral are (2, 3), (8, 3)- GMAT   [#permalink] 24 Dec 2018, 23:52
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