perimetre of a rectangle field is 84metres . If the length of the field is increased by 2m and its breadth os decreased by 4 metres the area is decreased by 32sq.m .Find the length and breadth of the rectangular field
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suppose length and breadth is l and b
so 2(l+b)=84
so l+b=42 -> l=42-b
now l is increased by 2m and breadth is decreased by 4m, area is decreased by 32
so (l+2)(b-4)=lb-32
lb+2b-4l-8=(42-b)b-32
(42-b)b+2b-4(42-b)=42b-b^2-24
42b-b^2+2b-168+4b=42b-b^2-24
6b=144
b=24
so l=18
b^2-48b+208=0
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