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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 m
Let the length of rectangle be = l
breadth of rectangle = b
Then, lb(l5)(b+3)=9
5b3l=6 ----(1)
and, (l+3)(b+2)lb=67
3b+2l=61---------- (2)
Multiply (1) by 2 and (2) by 3 and add,
10b+9b=12+183
19b=171
b=9
and, 2.l=61(39)
Thus, length of rectangle is 17 cm

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