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Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0
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26 Jul 2021, 07:40
26 Jul 2021, 07:40
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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
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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
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Re: Points P, Q, and R have rectangular coordinates (0,8), (4, 0), and (0 [#permalink]
26 Jul 2021, 22:02
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