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Current Student S
Joined: 24 Feb 2016
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Location: India
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ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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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

Originally posted by arabella on 04 Oct 2017, 11:09.
Last edited by Bunuel on 25 Nov 2018, 11:36, edited 2 times in total.
Intern  B
Joined: 17 Apr 2017
Posts: 11
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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arabella wrote:
ABCD is a quadrilateral as shown in the figure above. Find the area of the quadrilateral.

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

Stmt 1 - The quadrilateral is a square. (Diagonals bisect each other at 90 degrees - Square and Rhombus. Diagonals bisect each other and are equal - Square and Rectangle)
Not sufficient to calculate the area.

Stmt 2 - Length of each diagonal is 10 cm. Length of each is equal - Can be square of rectangle. Length of diagonals is not equal in rhombus.
Not sufficient to calculate the area.

Both together - Square plus length of diagonals is given - sufficient to calculate side and hence area.

Answer : C

Is this correct?
Intern  B
Joined: 04 Nov 2015
Posts: 37
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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Richak91 wrote:
arabella wrote:
ABCD is a quadrilateral as shown in the figure above. Find the area of the quadrilateral.

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

Stmt 1 - The quadrilateral is a square. (Diagonals bisect each other at 90 degrees - Square and Rhombus. Diagonals bisect each other and are equal - Square and Rectangle)
Not sufficient to calculate the area.

Stmt 2 - Length of each diagonal is 10 cm. Length of each is equal - Can be square of rectangle. Length of diagonals is not equal in rhombus.
Not sufficient to calculate the area.

Both together - Square plus length of diagonals is given - sufficient to calculate side and hence area.

Answer : C

Is this correct?

Though the answer is correct option C but from statement 1 we get that the quadrilateral is a square and not a rectangle as diagonals of a rectangle don't bisect at 90 degrees.

Regards,
Sandeep
Intern  B
Joined: 21 Sep 2016
Posts: 40
Location: India
GMAT 1: 430 Q38 V13 GPA: 3.55
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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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'
Math Expert V
Joined: 02 Sep 2009
Posts: 55273
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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Saumya2403 wrote:
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.
_________________ Re: ABCD is a quadrilateral as shown in the figure above. Find the area of   [#permalink] 27 Mar 2019, 21:10
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# ABCD is a quadrilateral as shown in the figure above. Find the area of

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