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• ### $450 Tuition Credit & Official CAT Packs FREE February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT practice February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need. # Two plots, one square and the other, circular, were equal in areas.  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Manager Joined: 25 Dec 2018 Posts: 146 Location: India GMAT 1: 490 Q47 V13 GPA: 2.86 Two plots, one square and the other, circular, were equal in areas. [#permalink] ### Show Tags 24 Jan 2019, 08:32 2 00:00 Difficulty: 45% (medium) Question Stats: 60% (02:12) correct 40% (02:31) wrong based on 17 sessions ### HideShow timer Statistics Two plots, one square and the other, circular, were equal in areas. If the cost of fencing the square plot and the circular plot were$ 2 per feet and $3 per feet respectively, what was the ration of the cost of fencing the square plot to that of the circular plot? A. Sq root π : 1 B. 4 sq root π : 3 C. 4 : sq root π D. 3 sq root π : 4 E. 4 : 3 sq root π Manager Status: Manager Joined: 27 Oct 2018 Posts: 155 Location: Malaysia Concentration: Strategy, International Business GPA: 3.67 WE: Pharmaceuticals (Health Care) Re: Two plots, one square and the other, circular, were equal in areas. [#permalink] ### Show Tags 24 Jan 2019, 11:31 2 akurathi12 wrote: Two plots, one square and the other, circular, were equal in areas. If the cost of fencing the square plot and the circular plot were$ 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 = $$\frac{S}{C}$$ = $$\frac{4d*2}{2πr*3}$$ = $$\frac{4*r\sqrt[]{π}*2}{2πr*3}$$ = $$\frac{4}{3\sqrt[]{π}}$$

E
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Re: Two plots, one square and the other, circular, were equal in areas.   [#permalink] 24 Jan 2019, 11:31
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