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.
What is the area of the polygon shown in the above figure? 3a2 5a2
[#permalink]
26 Nov 2024, 00:09
26 Nov 2024, 00:09
Expert Reply
00:00
Question Stats:
100% (01:22) correct
0% (00:00) wrong based on 4 sessions
Hide Show timer Statistics
Attachment:
GRE What is the area of the polygon shown in the above figure.jpg [ 33.82 KiB | Viewed 655 times ]
What is the area of the polygon shown in the above figure?
A. \(3a^2\)
B. \(5a^2\)
C. \(6a^2\)
D. \(7a^2\)
E. \(9a^2\)
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: What is the area of the polygon shown in the above figure? 3a2 5a2
[#permalink]
29 Nov 2024, 01:32
29 Nov 2024, 01:32
1
we can see 2 trapezoids in the given figure, trapezoid 1 is formed by connecting (-2a,0) ,(2a,0) , (a,a) and (-a,a), trapezoid is formed by connecting (-2a,0) ,(2a,0) , (a,-a) and (-a,-a)
these 2 trapezoids have same sides, therefore we can calculate the total area by doubling the area of one trapezoid
area of a trapezoid is given as 0.5* (A+B) * H
where A = 2a , B = 4a and H = a
plug in the values we get area of one trapezoid as 3a^2
doubling it will result in 6a^2
so Option C is the right answer
give me kudos if you find this solution useful
these 2 trapezoids have same sides, therefore we can calculate the total area by doubling the area of one trapezoid
area of a trapezoid is given as 0.5* (A+B) * H
where A = 2a , B = 4a and H = a
plug in the values we get area of one trapezoid as 3a^2
doubling it will result in 6a^2
so Option C is the right answer
give me kudos if you find this solution useful
gmatclubot
Re: What is the area of the polygon shown in the above figure? 3a2 5a2 [#permalink]
29 Nov 2024, 01:32
Moderators:
