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If the perimeter of a certain rectangle is 76 and its area is 360 then
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16 Aug 2022, 08:43
16 Aug 2022, 08:43
Expert Reply
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Question Stats:
80% (01:55) correct
20% (01:06) wrong based on 5 sessions
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If the perimeter of a certain rectangle is 76 and its area is 360 then what is the length of its shortest side ?
(A) 12
(B) 18
(C) 20
(D) 36
(E) 40
(A) 12
(B) 18
(C) 20
(D) 36
(E) 40
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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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
Re: If the perimeter of a certain rectangle is 76 and its area is 360 then
[#permalink]
20 Aug 2022, 08:57
20 Aug 2022, 08:57
Expert Reply
the shortest side is the largest when the rectangle with perimeter 76 is a square so:
76/4 = 19
meaning the answer for length a of the shortest side has to be a<19
--> A or B
A) if shortest side 12, then longest side is 26 (2x 12+ 2x 26 = 76)
B) if shortest side 18, then longest side is 20 (2x 18+ 2x 20 = 76)
12x26 = 312
18x20 = 360 --> B
76/4 = 19
meaning the answer for length a of the shortest side has to be a<19
--> A or B
A) if shortest side 12, then longest side is 26 (2x 12+ 2x 26 = 76)
B) if shortest side 18, then longest side is 20 (2x 18+ 2x 20 = 76)
12x26 = 312
18x20 = 360 --> B
gmatclubot
Re: If the perimeter of a certain rectangle is 76 and its area is 360 then [#permalink]
20 Aug 2022, 08:57
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