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# Two plots, one square and the other, circular, were equal in areas.

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Joined: 25 Dec 2018
Posts: 145
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
Two plots, one square and the other, circular, were equal in areas.  [#permalink]

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24 Jan 2019, 09:32
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Difficulty:

45% (medium)

Question Stats:

62% (02:15) correct 38% (02:30) wrong based on 28 sessions

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Two plots, one square and the other, circular, were equal in areas. If the cost of fencing the square plot and the circular plot were $2 per feet and$ 3 per feet respectively, what was the ration of the cost of fencing the square plot to that of the circular plot?

A. Sq root π : 1
B. 4 sq root π : 3
C. 4 : sq root π
D. 3 sq root π : 4
E. 4 : 3 sq root π
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Joined: 27 Oct 2018
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Re: Two plots, one square and the other, circular, were equal in areas.  [#permalink]

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24 Jan 2019, 12:31
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akurathi12 wrote:
Two plots, one square and the other, circular, were equal in areas. If the cost of fencing the square plot and the circular plot were $2 per feet and$ 3 per feet respectively, what was the ration of the cost of fencing the square plot to that of the circular plot?

A. Sq root π : 1
B. 4 sq root π : 3
C. 4 : sq root π
D. 3 sq root π : 4
E. 4 : 3 sq root π

for square side 'd' and circle radius 'r'
$$d^2 = π r^2$$
$$d= r\sqrt{π}$$

cost of fencing the square S = $$4d*2$$
cost of fencing the circle C = $$2πr*3$$

ratio of costs = $$\frac{S}{C}$$ = $$\frac{4d*2}{2πr*3}$$ = $$\frac{4*r\sqrt[]{π}*2}{2πr*3}$$ = $$\frac{4}{3\sqrt[]{π}}$$

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Re: Two plots, one square and the other, circular, were equal in areas.   [#permalink] 24 Jan 2019, 12:31
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