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

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

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New post Updated on: 25 Nov 2018, 10:36
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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, 10:09.
Last edited by Bunuel on 25 Nov 2018, 10:36, edited 2 times 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, 10:36
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?
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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 05 Oct 2017, 11:00
1
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.

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Sandeep
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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 25 Nov 2018, 10:27
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Re: ABCD is a quadrilateral as shown in the figure above. Find the area of &nbs [#permalink] 25 Nov 2018, 10:27
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ABCD is a quadrilateral as shown in the figure above. Find the area of

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