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

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Intern
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Joined: 24 Feb 2016
Posts: 27
Location: India
Schools: LBS (A)
GMAT 1: 650 Q45 V34
GPA: 4
ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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New post Updated on: 07 Oct 2017, 00:04
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69% (00:24) correct 31% (00:43) wrong based on 52 sessions

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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

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Originally posted by arabella on 04 Oct 2017, 11:09.
Last edited by arabella on 07 Oct 2017, 00:04, edited 1 time in total.
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Re: ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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New post 04 Oct 2017, 11:36
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
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Joined: 04 Nov 2015
Posts: 33
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of  [#permalink]

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New post 05 Oct 2017, 12:00
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
Re: ABCD is a quadrilateral as shown in the figure above. Find the area of &nbs [#permalink] 05 Oct 2017, 12:00
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ABCD is a quadrilateral as shown in the figure above. Find the area of

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