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31 Oct 2018, 02:06
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (01:41) correct
21%
(01:43)
wrong
based on 78
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A square region has an area of b square inches and a perimeter of n inches. If n = b/3 what is the length, in inches, of the side of the square?
A. 12
B. 12√2
C. 48
D. 48√2
E. 144
A. 12
B. 12√2
C. 48
D. 48√2
E. 144
eswarchethu135
GMAT 2: 640 Q49 V27
Posts: 276
31 Oct 2018, 02:16
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Let the side of a square be 'a'. Given the area of square \(a^2 = b\)
Now perimeter of the square is \(4a = n\)
Given, \(n = \frac{b}{3}\)
\(4a = \frac{a^2}{3}\)
\(a = 12\)
OPTION : A
Now perimeter of the square is \(4a = n\)
Given, \(n = \frac{b}{3}\)
\(4a = \frac{a^2}{3}\)
\(a = 12\)
OPTION : A
Updated on: 31 Oct 2018, 03:01
Originally posted by Salsanousi on 31 Oct 2018, 02:21.
Last edited by Salsanousi on 31 Oct 2018, 03:01, edited 1 time in total.
Last edited by Salsanousi on 31 Oct 2018, 03:01, edited 1 time in total.
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side of square = \(\sqrt{b}\)
Perimeter of a square = 4*side = 4 * \(\sqrt{b}\)
Given the perimeter = n
then 4*\(\sqrt{b}\) = \(\frac{b}{3}\)
then it becomes \(12 = \frac{b}{\sqrt{b}}\)
squaring both sides we get \(144 = \frac{b^2}{b}\)
this then equals 144 = b
Answer choice E
b = 144 is the area
Taking the square root of 144 = 12
Side is then 12.
Thanks to eswarchethu135 for pointing out
Correct answer choice is A
Perimeter of a square = 4*side = 4 * \(\sqrt{b}\)
Given the perimeter = n
then 4*\(\sqrt{b}\) = \(\frac{b}{3}\)
then it becomes \(12 = \frac{b}{\sqrt{b}}\)
squaring both sides we get \(144 = \frac{b^2}{b}\)
this then equals 144 = b
b = 144 is the area
Taking the square root of 144 = 12
Side is then 12.
Thanks to eswarchethu135 for pointing out
Correct answer choice is A
