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Quadrillateral - Square

Expert replies
Source: — Problem Solving |

by neelgandham » Sun Jun 10, 2012 4:20 pm
Area of the sector AB = (Angle/360)*pi*r*r = (30/360)*pi*r*r = 3*pi
(30/360)*pi*r*r = 3*pi
r*r = 36
r = 6 units.

Length of the side of the square = 2r = 12 units.
Area of the square = side*side = 12*12 = 144 square units.
Anil Gandham
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by Anurag@Gurome » Sun Jun 10, 2012 7:32 pm
Q3. Width = 20
Length = 30
Width of the rectangle is decreased by x% implies new width = 20 - x% of 20 = 20(1 - x/100)
Length of the rectangle is increased by y% implies new length = 30 + y% of 30 = 30(1 + y/100)
New area of rectangle = 20(1 - x/100) * 30(1 + y/100) = 600(1 - x/100)(1 + y/100)
= 600(1 - x/100 + y/100 - xy/10000)
= 600 - 6x + 6y - 3xy/50
= 6(100 - x + y) - 3xy/50

The correct answer is A.
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by ankita1709 » Sun Jun 10, 2012 9:39 pm
IMO E, E, A
Ankita
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by bubbliiiiiiii » Mon Jun 11, 2012 10:36 pm
For second question, IMO A.
Regards,

Pranay
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