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.
Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0
[#permalink]
26 Jul 2021, 07:40
26 Jul 2021, 07:40
Expert Reply
00:00
Question Stats:
72% (01:40) correct
27% (01:44) wrong based on 18 sessions
Hide Show timer Statistics
Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0, -3) , respectively.
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
Quantity A |
Quantity B |
The perimeter of \(\triangle PQR \) |
25 |
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: Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0
[#permalink]
26 Jul 2021, 22:02
26 Jul 2021, 22:02
1
Carcass wrote:
Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0, -3) , respectively.
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.
Quantity A |
Quantity B |
The perimeter of \(\triangle PQR \) |
25 |
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.
P = (0, 8)
Q = (4, 0)
R = (0, -3)
Perimeter of \(\triangle PQR \) = PQ + QR + PR
PR = \(8 - (-3) = 11\)
We can apply distance formula or Pythagoras theorem to find QR and PQ;
QR = \(\sqrt{4^2 + (-3)^2} = 5\)
PQ = \(\sqrt{8^2 + 4^2} = \sqrt{80} = 4\sqrt{5}\)
Col. A: \(11 + 5 + 4\sqrt{5}\)
Col. B: \(25\)
Col. A: \(16 + 4\sqrt{5}\)
Col. B: \(25\)
Subtracting \(16\) from both sides and dividing by \(4\);
Col. A: \(\sqrt{5} = 2.23\)
Col. B: \(2.25\)
Hence, option B
Attachments
Points P, Q, and R have rectangular coordinates.png [ 14.58 KiB | Viewed 1472 times ]
gmatclubot
Re: Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0 [#permalink]
26 Jul 2021, 22:02
Moderators:
