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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: 20

Kudos [?]: 18 [0], given: 158

ABCD is a quadrilateral as shown in the figure above. Find the area of [#permalink]

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New post 04 Oct 2017, 11:09
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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
[Reveal] Spoiler: OA

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Last edited by arabella on 07 Oct 2017, 00:04, edited 1 time in total.

Kudos [?]: 18 [0], given: 158

Intern
Intern
avatar
B
Joined: 17 Apr 2017
Posts: 13

Kudos [?]: 3 [0], given: 31

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?

Kudos [?]: 3 [0], given: 31

Intern
Intern
avatar
B
Joined: 04 Nov 2015
Posts: 36

Kudos [?]: 3 [0], given: 2

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

Kudos [?]: 3 [0], given: 2

Re: ABCD is a quadrilateral as shown in the figure above. Find the area of   [#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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