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.
The shaded region is rectangular
[#permalink]
27 Jul 2021, 05:44
27 Jul 2021, 05:44
Expert Reply
3
Bookmarks
00:00
Question Stats:
63% (01:20) correct
36% (01:26) wrong based on 19 sessions
Hide Show timer Statistics
Attachment:
GRE shaded region.jpg [ 43.82 KiB | Viewed 2651 times ]
The shaded region is rectangular
Quantity A |
Quantity B |
The perimeter of the shaded region |
\(XZ+YZ\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The shaded region is rectangular
[#permalink]
27 Jul 2021, 20:51
27 Jul 2021, 20:51
Carcass wrote:
Attachment:
The attachment GRE shaded region.jpg is no longer available
The shaded region is rectangular
Quantity A |
Quantity B |
The perimeter of the shaded region |
\(XZ+YZ\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
XYZ is an Isosceles Right Triangle with XZ = ZY
and DZEF is a Rectangle with DZ = EF = L (say) and EZ = DF = B (say)
In triangle XDF;
FD = XD = B
XF = \(\sqrt{2}\)B
In triangle YEF;
YE = EF = L
YF = \(\sqrt{2}\)L
Col. A: DZ + ZE + EF + FD
Col. B: XZ + YZ
Col. A: L + B + L + B
Col. B: (B + L) + (L + B)
Col. A: 2(L + B)
Col. B: 2(L + B)
Hence, option C
Attachments
The shaded region is rectangular.png [ 6.81 KiB | Viewed 2438 times ]
gmatclubot
Re: The shaded region is rectangular [#permalink]
27 Jul 2021, 20:51
Moderators:
