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Re: ABCD is a quadrilateral as shown in the figure above. Find the area of [#permalink]
Bunuel , Hi!! Here in above question:
ABCD is a quadrilateral as shown in the figure given below, Find the area of the quadrilateral ABCD.
I. The diagonals bisect each other at 90o
II. The length of one of the sides is 10 cm.

Answer here is 'C' as OA

And,https://gmatclub.com/forum/common-mistake-in-geometry-questions-229082.html#p2250149

Here egmat suggest answer to be 'E'

Please help me with the correct approach and answer
IMO it should be 'C'
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Re: ABCD is a quadrilateral as shown in the figure above. Find the area of [#permalink]
Expert Reply
Saumya2403
Bunuel , Hi!! Here in above question:
ABCD is a quadrilateral as shown in the figure given below, Find the area of the quadrilateral ABCD.
I. The diagonals bisect each other at 90o
II. The length of one of the sides is 10 cm.

Answer here is 'C' as OA

And,https://gmatclub.com/forum/common-mistake-in-geometry-questions-229082.html#p2250149

Here egmat suggest answer to be 'E'

Please help me with the correct approach and answer
IMO it should be 'C'

The question with answer E does not have "and they are equal" in (1).

P.S. Please do NOT post same in two topics.
Joined: 07 Oct 2020
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Re: ABCD is a quadrilateral as shown in the figure above. Find the area of [#permalink]
ABCD is a quadrilateral as shown in the figure above. Find the area of the quadrilateral.

(1) The diagnols bisect each other at 90° and they are equal.
(2) The length of each diagonal is 10 cm

so, (1) tells us that DBC = ACB = DBA = BAC because they are equally bisected
(2) tells us that diagonal is 10cm

alone, they are not telling much
when we put (1) with (2),
we know ABC = 90 [with (1)]
so AB^2 + BC^2 = 10^2
2x^2 =100
x= /50

the area is /50 * /50 = 50

so answer C
GMAT Club Bot
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of [#permalink]
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