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In the figure, what is the area of triangle BCD given
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10 Jan 2019, 12:59
10 Jan 2019, 12:59
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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
_________________
Re: In the figure, what is the area of triangle BCD given
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10 Jan 2019, 19:44
10 Jan 2019, 19:44
Expert Reply
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GreenlightTestPrep wrote:
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: ::
20
If we add ADE and CDE, we get triangle ADC, which has an area of 28, which is the sum of the areas of ADE and CDE, 16+12.
Now if we compare triangle ACD with triangle BCD, the base is CD, common to both AND the height is also the same as both triangles between two parallel lines, AB and CD.
With base and height the same, the area of the two triangles will be the same, so area of BCD is also 28.
Brent, could you please check the OA as it is given 20
_________________
Some useful Theory.
1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
Re: In the figure, what is the area of triangle BCD given
[#permalink]
11 Jan 2019, 09:49
11 Jan 2019, 09:49
3
GreenlightTestPrep wrote:
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
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
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
_________________
Re: In the figure, what is the area of triangle BCD given
[#permalink]
11 Jul 2021, 08:16
11 Jul 2021, 08:16
1
GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
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
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
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
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 [ 21.92 KiB | Viewed 4159 times ]
Re: In the figure, what is the area of triangle BCD given
[#permalink]
11 Jul 2021, 08:30
11 Jul 2021, 08:30
mrk9414 wrote:
GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
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
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
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
In the figure, what is the area of triangle BCD given
[#permalink]
11 Jul 2021, 09:54
11 Jul 2021, 09:54
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
_________________
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
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
_________________
Want to crush the GRE? One stop SHOP
Debrief - And it's done with 328
Which exam to go for? - GRE v/s GMAT Diagnostic Test
Debrief - And it's done with 328
Which exam to go for? - GRE v/s GMAT Diagnostic Test
Re: In the figure, what is the area of triangle BCD given
[#permalink]
11 Jul 2021, 12:01
11 Jul 2021, 12:01
1
Bookmarks
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
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
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 [ 21.92 KiB | Viewed 4057 times ]
Re: In the figure, what is the area of triangle BCD given
[#permalink]
11 Jul 2021, 19:12
11 Jul 2021, 19:12
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
_________________
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
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
_________________
Want to crush the GRE? One stop SHOP
Debrief - And it's done with 328
Which exam to go for? - GRE v/s GMAT Diagnostic Test
Debrief - And it's done with 328
Which exam to go for? - GRE v/s GMAT Diagnostic Test
Re: In the figure, what is the area of triangle BCD given
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27 Jun 2023, 10:09
27 Jun 2023, 10:09
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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