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 preceding figure, ABCD ≈ HIJKL and the ratio of corresponding s
[#permalink]
10 Nov 2021, 07:09
10 Nov 2021, 07:09
Expert Reply
1
Bookmarks
00:00
Question Stats:
66% (01:37) correct
33% (01:52) wrong based on 9 sessions
Hide Show timer Statistics
Attachment:
GRe polygons.jpg [ 23.05 KiB | Viewed 1663 times ]
In the preceding figure, ABCD ≈ HIJKL and the ratio of corresponding sides is \(\frac{4}{3}\) . What is the ratio of the area of ABCDE to the area of HIJKL?
Express your answer as a fraction
Show: ::
16/9
Re: In the preceding figure, ABCD ≈ HIJKL and the ratio of corresponding s
[#permalink]
11 Nov 2021, 06:33
11 Nov 2021, 06:33
Can't post a figure here so I will leave the idea on how to approach it.
Both figures are pentagons, regular or not is not mentioned.
We can give centers to each figures, let us say O.
Then we can split each figure into 5 triangles
ΔAOB, ΔAOE, ΔEOD, and so on. Similar for other figure
Area of a triangle is 0.5 * base * height
Its given that the bases are in ratio of 4/3, same will be for the heights of each triangles
So the whole area will be in ratio of \(\frac{4}{3}*\frac{4}{3} = \frac{16}{9}\)
Both figures are pentagons, regular or not is not mentioned.
We can give centers to each figures, let us say O.
Then we can split each figure into 5 triangles
ΔAOB, ΔAOE, ΔEOD, and so on. Similar for other figure
Area of a triangle is 0.5 * base * height
Its given that the bases are in ratio of 4/3, same will be for the heights of each triangles
So the whole area will be in ratio of \(\frac{4}{3}*\frac{4}{3} = \frac{16}{9}\)
Re: In the preceding figure, ABCD HIJKL and the ratio of corresponding s
[#permalink]
16 Jul 2024, 22:31
16 Jul 2024, 22:31
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.
