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Area of rectangle

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by harsh.champ » Wed Feb 17, 2010 5:03 am
A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by :

A. 4
B. 144
C. 12
D. 2
E. None of the above.

The OA is A.
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Source: — Problem Solving |

by ajith » Wed Feb 17, 2010 5:32 am
harsh.champ wrote:A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by :

A. 4
B. 144
C. 12
D. 2
E. None of the above.

The OA is A.
14-x = 10+x

x =2

side of the square = 12

Area of the square = 12*12 =144
Area of the rectangle = 14*10 =140

[spoiler]Difference in area = 4[/spoiler]
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