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The Official Guide For GMAT® Quantitative Review, 2ND EditionIf the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides?
(A) 5 ft
(B) 6 ft
(C) 10 ft
(D) 12 ft
(E) 15ft
Problem Solving
Question: 24
Category: Geometry; Algebra Perimeter; Area; Simultaneous equations
Page: 65
Difficulty: 550
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Conditions to satisfy. (GIVEN)
\(l*b = 60\)
\(2(l+b) = 34\)
LCM of 60 = \(2*2*3*5\)
Our answer choices include 5,6,10, 12 and 15.
taking,
\(l = 2*2*3\) and \(b= 5\) satisfy both the conditions.
Answer D.Another approach.
Easiest thing to do here is using the answer choices to solve the problem.
We know that of the given answer choices one is our answer.
If we take 10 as the longest length, then the breadth(b) has to be 6. This satisfies l*b=60 but it doesn't satisfies 2(l+b) =34.
If we take 12 as our length then breadth will be 5, as 12 * 5 = 60. Also, 2(12+5)= 34.
Therefore, longest length is 12.
Answer D.