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In the figure, ABCD and ABEC are parallelograms. The area of the quadr

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Joined: 02 Sep 2009
Posts: 59721
In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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02 Apr 2019, 23:33
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Difficulty:

25% (medium)

Question Stats:

72% (01:23) correct 28% (02:12) wrong based on 47 sessions

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In the figure, ABCD and ABEC are parallelograms. The area of the quadrilateral ABED is 6. What is the area of the parallelogram ABCD ?

(A) 2

(B) 4

(C) 4.5

(D) 5

(E) 6

Attachment:

#GREpracticequestion In the figure, ABCD and ABEC.jpg [ 24.98 KiB | Viewed 721 times ]

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Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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04 Apr 2019, 09:19
1
Bunuel wrote:

In the figure, ABCD and ABEC are parallelograms. The area of the quadrilateral ABED is 6. What is the area of the parallelogram ABCD ?

(A) 2

(B) 4

(C) 4.5

(D) 5

(E) 6

Attachment:
#GREpracticequestion In the figure, ABCD and ABEC.jpg

seeing the figure we can say area of
and they are all equal so area of each ∆ = 6/3 = 2
so Quadrilateral ABDC area = sum of ∆ADC+ ∆ABC = 2+2 ; 4
IMO B
Senior Manager
Joined: 12 Sep 2017
Posts: 308
Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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21 May 2019, 17:56
Archit3110 wrote:
Bunuel wrote:

In the figure, ABCD and ABEC are parallelograms. The area of the quadrilateral ABED is 6. What is the area of the parallelogram ABCD ?

(A) 2

(B) 4

(C) 4.5

(D) 5

(E) 6

Attachment:
#GREpracticequestion In the figure, ABCD and ABEC.jpg

seeing the figure we can say area of
and they are all equal so area of each ∆ = 6/3 = 2
so Quadrilateral ABDC area = sum of ∆ADC+ ∆ABC = 2+2 ; 4
IMO B

Hello Archit3110

How can we be sure that the figures are actually equal?

Kind regards!
Manager
Joined: 17 Sep 2017
Posts: 100
Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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25 May 2019, 00:00
Senior Manager
Joined: 25 Feb 2019
Posts: 335
Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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25 May 2019, 01:28
abhishek31 wrote:

This diagram gives us three equilateral triangles( in ABCD, AC will divide in two triangles with equal area )

same logic with ABEC ,

so total area = 6

area of one triangle = 2

so area of ABCD = 2*2 = 4

IMO B

Posted from my mobile device
Senior Manager
Joined: 12 Sep 2017
Posts: 308
Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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25 May 2019, 14:51
This diagram gives us three equilateral triangles( in ABCD, AC will divide in two triangles with equal area )

same logic with ABEC ,

so total area = 6

area of one triangle = 2

so area of ABCD = 2*2 = 4

IMO B

Hello @m1033512!!

How can we be sure that C is midpoint if its not written?

Kind regards!

Posted from my mobile device[/quote]
Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr   [#permalink] 25 May 2019, 14:51
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