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Question

# The area of a rectangle gets reduced by 9 m2 if its length is reduced by 5 m and breadth increased by 3 m. if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2 . The length of the rectangle is

A
9 m
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B
15.6 m
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C
17 m
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D
18.5 m
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Solution

## The correct option is D 17 mLet the length of rectangle be = lbreadth of rectangle = bThen, lb−(l−5)(b+3)=95b−3l=−6 ----(1)and, (l+3)(b+2)−lb=673b+2l=61---------- (2)Multiply (1) by 2 and (2) by 3 and add,10b+9b=−12+18319b=171b=9and, 2.l=61−(3∗9)Thus, length of rectangle is 17 cm

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