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If twice the width of a rectangle is equal to 5/6 times the length of
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16 Feb 2022, 07:00
16 Feb 2022, 07:00
Expert Reply
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Question Stats:
90% (02:35) correct
9% (02:49) wrong based on 11 sessions
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If twice the width of a rectangle is equal to 5/6 times the length of the rectangle, what is the ratio of its perimeter to the length of its diagonal?
(A) 17/12
(B) 30/17
(C) 34/15
(D) 30/13
(E) 34/13
(A) 17/12
(B) 30/17
(C) 34/15
(D) 30/13
(E) 34/13
If twice the width of a rectangle is equal to 5/6 times the length of
[#permalink]
16 Feb 2022, 10:54
16 Feb 2022, 10:54
2
Let W be width and L be length. So 1st eq is 2W=5/12 L -> W =5/12 L
Length of diagonal = \(\sqrt{L^2 + W^2 }\)
=\( L \sqrt{(1+ 25/144)}\)
= \(L \sqrt{(169/144)}\)
= \(\frac{13}{12} L\)
Perimeter = \(2(L+W)\)
= \(2 L ( \frac{5}{12} +1)\)
= \(2 L ( \frac{17}{12})\)
= \(\frac{34}{ 12} L\)
Solving Perimeter : Length of diagonal we get \(\frac{34}{13}\)
So ans is E
Length of diagonal = \(\sqrt{L^2 + W^2 }\)
=\( L \sqrt{(1+ 25/144)}\)
= \(L \sqrt{(169/144)}\)
= \(\frac{13}{12} L\)
Perimeter = \(2(L+W)\)
= \(2 L ( \frac{5}{12} +1)\)
= \(2 L ( \frac{17}{12})\)
= \(\frac{34}{ 12} L\)
Solving Perimeter : Length of diagonal we get \(\frac{34}{13}\)
So ans is E
gmatclubot
If twice the width of a rectangle is equal to 5/6 times the length of [#permalink]
16 Feb 2022, 10:54
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