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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the figure, ABCD and ABEC are parallelograms. The area of
[#permalink]
24 Mar 2019, 00:12
24 Mar 2019, 00:12
Expert Reply
1
Bookmarks
00:00
Question Stats:
73% (01:07) correct
26% (01:12) wrong based on 42 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion In the figure, ABCD and ABEC.jpg [ 24.98 KiB | Viewed 4924 times ]
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
Re: In the figure, ABCD and ABEC are parallelograms. The area of
[#permalink]
10 Sep 2019, 00:02
10 Sep 2019, 00:02
3
We can observe that AB = DC = CE (opposite sides of a parallelogram are equal) let us take that value as x.
Now, the area of a trapezoid is 0.5*(d1 + d2)* h, where d1 and d2 are the parallel sides and h is the height. Therefore, the area of ABED = 6 = 0.5(x + 2x) * h.
Simplifying the equation, we get 3*x*h = 12, which means x*h = 4, which is the area of the parallelogram. Therefore, the answer is B
Now, the area of a trapezoid is 0.5*(d1 + d2)* h, where d1 and d2 are the parallel sides and h is the height. Therefore, the area of ABED = 6 = 0.5(x + 2x) * h.
Simplifying the equation, we get 3*x*h = 12, which means x*h = 4, which is the area of the parallelogram. Therefore, the answer is B
Re: In the figure, ABCD and ABEC are parallelograms. The area of
[#permalink]
27 May 2022, 05:39
27 May 2022, 05:39
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.
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.
