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# What is the area of quadrilateral ABCD?

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
What is the area of quadrilateral ABCD?  [#permalink]

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30 Aug 2018, 04:56
00:00

Difficulty:

15% (low)

Question Stats:

93% (00:24) correct 7% (00:19) wrong based on 32 sessions

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What is the area of quadrilateral ABCD?

(1) The given quadrilateral is a square.
(2) The given quadrilateral has a perimeter of 16.

Attachment:

image004.jpg [ 1.59 KiB | Viewed 502 times ]

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Re: What is the area of quadrilateral ABCD?  [#permalink]

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30 Aug 2018, 05:31
Bunuel wrote:

What is the area of quadrilateral ABCD?

(1) The given quadrilateral is a square.
(2) The given quadrilateral has a perimeter of 16.

Attachment:
image004.jpg

Question : What is the area of quadrilateral ABCD?

For area of the triangle we need to know the type of quadrilateral it is and also the dimensions of the sides

Statement 1: The given quadrilateral is a square

It gives us all properties but the length of any dimension (Side or Diagonal) is unknown hence

NOT SUFFICIENT

Statement 2: The given quadrilateral has a perimeter of 16.

This doesn't tell us any property of the quadrilateral which can make it a rectangle/parallelogram/square with same perimeter but rendering different results for area of the quadrilateral hence

NOT SUFFICIENT

Combining the Statement

We know it's Square with perimeter 16 i.e. side 4 therefore area of the quadrilateral = 4^2 = 16

SUFFICIENT

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Re: What is the area of quadrilateral ABCD?   [#permalink] 30 Aug 2018, 05:31
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# What is the area of quadrilateral ABCD?

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