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

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

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New post 02 Apr 2019, 23:33
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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
#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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New post 04 Apr 2019, 09:19
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Bunuel wrote:
Image
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
∆ADC+∆ABC+∆BCE = 6
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
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Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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New post 21 May 2019, 17:56
Archit3110 wrote:
Bunuel wrote:
Image
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
∆ADC+∆ABC+∆BCE = 6
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!
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Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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New post 25 May 2019, 00:00
Hi, can someone please help me with the explanation?
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Re: In the figure, ABCD and ABEC are parallelograms. The area of the quadr  [#permalink]

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New post 25 May 2019, 01:28
abhishek31 wrote:
Hi, can someone please help me with the explanation?



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


award kudos if helpful

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

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New post 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


award kudos if helpful


Hello @m1033512!!

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

Kind regards!




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

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