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# What is the area of the quadrilateral ABCD?

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
What is the area of the quadrilateral ABCD?  [#permalink]

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13 Sep 2018, 05:00
00:00

Difficulty:

35% (medium)

Question Stats:

66% (00:58) correct 34% (00:51) wrong based on 41 sessions

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What is the area of the quadrilateral ABCD?

(1) BD = 5
(2) AC = 3/5*BC

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Re: What is the area of the quadrilateral ABCD?  [#permalink]

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16 Sep 2018, 10:46
(1) BD = 5
This may or may not be a rectangle. and only one diagonal is given
Not sufficient

(2) AC = 3/5*BC
we have only ratio of the side and diagonal. we wouldn't we able to find the area

From 1 and 2
BD may equal to AC if the sides are parallel
BD may not be equal to AC if the sides are not parallel

If we knew the quad was a rectangle we could use Pythagoras' theorem
using the info Diagonal would equal 3/5*bc

hence E
Re: What is the area of the quadrilateral ABCD?   [#permalink] 16 Sep 2018, 10:46
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# What is the area of the quadrilateral ABCD?

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