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Re: In the figure, what is the area of triangle BCD given [#permalink]
1
GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
Image

In the figure above, the area of triangle ADE is 16 and the area of triangle CDE is 12. What is the area of triangle BCD?

Answer:
Show: ::
28


∆ADC is comprised of 2 regions: ∆ADE and ∆CDE
We're told that ∆ADE and ∆CDE have areas 16 ans 12 respectively.
So, the area of ∆ADC = 16 + 12 = 28
Image


First recognize that ∆ADC and ∆BCD both have the same base.
Also, if we let h = the height of ∆ADC, then ∆BCD also has height h
Image

area of triangle = (base)(height)/2
So, if ∆ADC and ∆BCD have the same base and the same height, then they must have the same area.

So, if the area of ∆ADC is 28, then the area of ∆BCD must also be 28


Answer: 28

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In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.

can you please solve it for me
Attachments

File comment: In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.

figure geomentry.png
figure geomentry.png [ 21.92 KiB | Viewed 4830 times ]

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Re: In the figure, what is the area of triangle BCD given [#permalink]
mrk9414 wrote:
GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
Image

In the figure above, the area of triangle ADE is 16 and the area of triangle CDE is 12. What is the area of triangle BCD?

Answer:
Show: ::
28


∆ADC is comprised of 2 regions: ∆ADE and ∆CDE
We're told that ∆ADE and ∆CDE have areas 16 ans 12 respectively.
So, the area of ∆ADC = 16 + 12 = 28
Image


First recognize that ∆ADC and ∆BCD both have the same base.
Also, if we let h = the height of ∆ADC, then ∆BCD also has height h
Image

area of triangle = (base)(height)/2
So, if ∆ADC and ∆BCD have the same base and the same height, then they must have the same area.

So, if the area of ∆ADC is 28, then the area of ∆BCD must also be 28


Answer: 28

RELATED VIDEO FROM OUR COURSE


In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.

can you please solve it for me


Sir, I kindly request you to please go through the question

as inverting the figure changes a lot and it's asked for another triangle that too infraction.

and the answer is supposed to be 28/3, would really kind of you if you could explain to me
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In the figure, what is the area of triangle BCD given [#permalink]
1
It is correct indeed. \(28\) is the answer.

The base of both the triangle is same. Hence the formula used is correct.

Can you please post your way of reaching \(\frac{28}{3}\)? Perhaps the mistake can be evaluated better.

Regards

mrk9414 wrote:
Sir, I kindly request you to please go through the question

as inverting the figure changes a lot and it's asked for another triangle that too infraction.

and the answer is supposed to be 28/3, would really kind of you if you could explain to me
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Re: In the figure, what is the area of triangle BCD given [#permalink]
1
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rx10 wrote:
It is correct indeed. \(28\) is the answer.

The base of both the triangle is same. Hence the formula used is correct.

Can you please post your way of reaching \(\frac{28}{3}\)? Perhaps the mistake can be evaluated better.

Regards

mrk9414 wrote:
Sir, I kindly request you to please go through the question

as inverting the figure changes a lot and it's asked for another triangle that too infraction.

and the answer is supposed to be 28/3, would really kind of you if you could explain to me




In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.

can you please solve it for me as the question is a bit different would request you to through and figure and values in the question are different
Attachments

File comment: In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.

figure geomentry.png
figure geomentry.png [ 21.92 KiB | Viewed 4711 times ]

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Posts: 1833
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Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
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Re: In the figure, what is the area of triangle BCD given [#permalink]
It's a new question. Please create a new post. Here : https://gre.myprepclub.com/forum/posting.p ... =post&f=19
You should not post sub questions.

And please refer to this while posting : https://gre.myprepclub.com/forum/how-to-po ... 12752.html

mrk9414 wrote:
Sir, I kindly request you to please go through the question

as inverting the figure changes a lot and it's asked for another triangle that too infraction.

and the answer is supposed to be 28/3, would really kind of you if you could explain to me

In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.

can you please solve it for me as the question is a bit different would request you to through and figure and values in the question are different
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Re: In the figure, what is the area of triangle BCD given [#permalink]
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Re: In the figure, what is the area of triangle BCD given [#permalink]
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