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.
Diagonals of two rhombus shown above overlap. What is the area of shad
[#permalink]
19 Jun 2023, 05:40
19 Jun 2023, 05:40
Expert Reply
00:00
Question Stats:
92% (01:48) correct
7% (01:47) wrong based on 14 sessions
Hide Show timer Statistics
Attachment:
GRE rhombus (3).jpg [ 18.31 KiB | Viewed 1252 times ]
Diagonals of two rhombus shown above overlap. What is the area of shaded region?
A. 24
B. 72
C. 80
D. 96
E. 108
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
Re: Diagonals of two rhombus shown above overlap. What is the area of shad
[#permalink]
20 Jun 2023, 07:15
20 Jun 2023, 07:15
2
we can use the area of right triangle to find out the area of 1 shaded region. The area of the large right triangle is: 0.5*8*6=24 and the area of the small right triangle is: 0.5*4*3=6. So the area of one shaded region is 24-6=18. we have 4 shaded region and the area of these shaded region will be 18*4=72. so option B is correct
Re: Diagonals of two rhombus shown above overlap. What is the area of shad
[#permalink]
11 Oct 2023, 08:24
11 Oct 2023, 08:24
themadtitan wrote:
we can use the area of right triangle to find out the area of 1 shaded region. The area of the large right triangle is: 0.5*8*6=24 and the area of the small right triangle is: 0.5*4*3=6. So the area of one shaded region is 24-6=18. we have 4 shaded region and the area of these shaded region will be 18*4=72. so option B is correct
This is interesting!
Another method is to see that the area of a rhombus is 0.5 * product of the length of the diagnols.
