Last visit was: 14 Nov 2024, 14:14 It is currently 14 Nov 2024, 14:14
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

In the figure, what is the area of triangle BCD given

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12188 [3]
Given Kudos: 136
Send PM

Top Member of the Month
In the figure, what is the area of triangle BCD given [#permalink] New post   10 Jan 2019, 12:59
1
2
Bookmarks
00:00

Question Stats:

85% (00:59) correct 14% (05:42) wrong based on 21 sessions

Hide Show timer Statistics

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
avatar
chetan2u
Supreme Moderator
Joined: 01 Nov 2017
Posts: 371
Own Kudos [?]: 470 [1]
Given Kudos: 0
Send PM
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   10 Jan 2019, 19:44
Expert Reply
1
Bookmarks
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: ::
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
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12188 [3]
Given Kudos: 136
Send PM

Top Member of the Month
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   11 Jan 2019, 09:49
3
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
avatar
B
mrk9414
Intern
Intern
Joined: 19 Oct 2020
Posts: 33
Own Kudos [?]: 41 [1]
Given Kudos: 41
Send PM
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   11 Jul 2021, 08:16
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

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
figure geomentry.png [ 21.92 KiB | Viewed 4831 times ]

avatar
B
mrk9414
Intern
Intern
Joined: 19 Oct 2020
Posts: 33
Own Kudos [?]: 41 [0]
Given Kudos: 41
Send PM
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   11 Jul 2021, 08:30
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
User avatar
D
rx10
Retired Moderator
Joined: 02 Dec 2020
Posts: 1833
Own Kudos [?]: 2146 [1]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
In the figure, what is the area of triangle BCD given [#permalink] New post   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

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
avatar
B
mrk9414
Intern
Intern
Joined: 19 Oct 2020
Posts: 33
Own Kudos [?]: 41 [1]
Given Kudos: 41
Send PM
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   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

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 4712 times ]

User avatar
D
rx10
Retired Moderator
Joined: 02 Dec 2020
Posts: 1833
Own Kudos [?]: 2146 [0]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   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

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
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5014
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: In the figure, what is the area of triangle BCD given [#permalink] New post   27 Jun 2023, 10:09
Hello from the GRE Prep Club BumpBot!

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: In the figure, what is the area of triangle BCD given [#permalink]
27 Jun 2023, 10:09
Moderators:
adewale223
GRE Instructor
78 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact