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11 Oct 2019, 02:03
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A
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A rectangle has length y feet and width z feet. What is its area in square feet?
(1) z is the reciprocal of y.
(2) The fence around the perimeter of the rectangle is 720 feet.
(1) z is the reciprocal of y.
(2) The fence around the perimeter of the rectangle is 720 feet.
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11 Oct 2019, 08:17
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(1) Area=Length*breadth
=> Area= z*y
But y=1/z
=>Area= z*1/z=1
Thus, sufficient.
(2) Area=Length*breadth
Given that, Perimeter=720 feet.
Assuming, length as l and breadth as b, we get Perimeter=2(l+b)=720 feet
From the above equation we can't find the value of area as we don't have the values of l and b.
Thus, insufficient.
Therefore, answer is option A.
=> Area= z*y
But y=1/z
=>Area= z*1/z=1
Thus, sufficient.
(2) Area=Length*breadth
Given that, Perimeter=720 feet.
Assuming, length as l and breadth as b, we get Perimeter=2(l+b)=720 feet
From the above equation we can't find the value of area as we don't have the values of l and b.
Thus, insufficient.
Therefore, answer is option A.
11 Oct 2019, 10:08
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Bunuel
A rectangle has length y feet and width z feet. What is its area in square feet?
(1) z is the reciprocal of y.
(2) The fence around the perimeter of the rectangle is 720 feet.
(1) z is the reciprocal of y.
(2) The fence around the perimeter of the rectangle is 720 feet.
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Visit https://www.mathrevolution.com/gmat/lesson for details.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.
Since z = 1/y from condition 1), we have the area of the rectangle, yz = 1.
Thus condition 1) alone is sufficient.
Condition 2)
Since we have 2(y+z) = 720 and y+z=360, there are many possibilities of the pair (y,z).
Since condition 2) does not yield a unique solution, it is not sufficient.
Therefore, A is the answer.
