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Twice the length of the diagonal of the same rectangle
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26 Oct 2022, 01:12
26 Oct 2022, 01:12
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Question Stats:
68% (01:04) correct
31% (00:47) wrong based on 19 sessions
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Quantity A |
Quantity B |
The perimeter of a rectangle |
Twice the length of the diagonal of the same rectangle |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
GRE Whiz Representative
Joined: 25 May 2022
Posts: 25
Given Kudos: 1
Twice the length of the diagonal of the same rectangle
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26 Oct 2022, 21:38
26 Oct 2022, 21:38
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1
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Let's say the length is L and the width is W.
So the perimeter = 2(L + W)
And the double of the diagonal = \(2 × \sqrt{L^2 + W^2}\)
So we are comparing L + W and \(\sqrt{L^2 + W^2}\)
We can visualize a right-angle triangle here where \(\sqrt{L^2 + W^2}\) is the diagonal (one side) and L + W is the sum of the other two sides.
The answer is A.
So the perimeter = 2(L + W)
And the double of the diagonal = \(2 × \sqrt{L^2 + W^2}\)
So we are comparing L + W and \(\sqrt{L^2 + W^2}\)
We can visualize a right-angle triangle here where \(\sqrt{L^2 + W^2}\) is the diagonal (one side) and L + W is the sum of the other two sides.
- Hence L + W must be greater.
The answer is A.
Re: Twice the length of the diagonal of the same rectangle
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19 Sep 2024, 01:14
19 Sep 2024, 01:14
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