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In the above parallelogram, the area of triangle AOB is 10 and the are

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Joined: 02 Sep 2009
Posts: 58464
In the above parallelogram, the area of triangle AOB is 10 and the are  [#permalink]

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02 Sep 2018, 22:01
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Difficulty:

15% (low)

Question Stats:

92% (02:07) correct 8% (01:39) wrong based on 15 sessions

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In the above parallelogram, the area of triangle AOB is 10 and the area of triangle AOD is also 10. The height AH is 5. What is the length of BC?

A. 2
B. 4
C. 8
D. 16
E. 32

Attachment:

image049.jpg [ 3 KiB | Viewed 482 times ]

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Posts: 252
Re: In the above parallelogram, the area of triangle AOB is 10 and the are  [#permalink]

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Updated on: 03 Sep 2018, 09:35
Bunuel wrote:

In the above parallelogram, the area of triangle AOB is 10 and the area of triangle AOD is also 10. The height AH is 5. What is the length of BC?

A. 2
B. 4
C. 8
D. 16
E. 32

Attachment:
image049.jpg

The parallelogram diagonal divides the parallelogram in 2 equal areas.
So total area of parallelogram is 20+20=40 units

Now area = base * perpendicular height
40 = BC* 5
BC = 8 units

Thank you = Kudos
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Thank you =Kudos
The best thing in life lies on the other side of the pain.

Originally posted by sumit411 on 02 Sep 2018, 22:59.
Last edited by sumit411 on 03 Sep 2018, 09:35, edited 2 times in total.
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Joined: 15 Aug 2012
Posts: 41
Schools: AGSM '19
Re: In the above parallelogram, the area of triangle AOB is 10 and the are  [#permalink]

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03 Sep 2018, 08:29
sumit411 wrote:
Bunuel wrote:

In the above parallelogram, the area of triangle AOB is 10 and the area of triangle AOD is also 10. The height AH is 5. What is the length of BC?

A. 2
B. 4
C. 8
D. 16
E. 32

Attachment:
image049.jpg

The parallelogram diagonal divides the parallelogram in 2 equal areas.
So total area of parallelogram is 20+20=40 units

Now area = base * perpendicular height
40 = BC* 10
BC = 4 units

Thank you = Kudos

Height is 5 so the answer should be
40 = BC * 5
BC = 8 units
Re: In the above parallelogram, the area of triangle AOB is 10 and the are   [#permalink] 03 Sep 2018, 08:29
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