(v) The area of a rectangle gets reduced by 9 square units, if its length is reduced by
5 units and breadth is increased by 3 units. If we increase the length by 3 units and
the breadth by 2 units, the area increases by 67 square units. Find the dimensions
of the rectangle
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LENGTH=L AND BREADTH=B AND AREA= LB
A=L×B
CASE 1 =
LB=L×B
LB-9=(L-5)×(B+3)
LB-9=LB+3L-5B-15
6=3L-5B---------1
CASE 2
LB+67=(L+3)×(B+2)
LB+67=LB+2L+3B+6
61=2L+3B------2
ELMINATING 1 AND 2
L = 17, B = 9
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