area of rectangle gets reduced by 8 metre square when its length is reduced by 5m and its breadth is increased by 3 M if we increase the length by 3 m and breadth 2m the area is increased by 74 174 CM square find the length of the breadth of rectangle
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Step-by-step explanationlet x=length of rectangle
let y=breadth of rectangle
original area=xy
xy-(x-5)(y+3)=8
(x+3)(y+2)-xy=74
..
xy-(xy-5y+3x-15)=8
-xy+(xy+3y+2x+6)=74
..
xy-xy+5y-3x+15=8
-xy+xy+3y+2x+6=74
..
5y-3x+15=8
3y+2x+6=74
..
10y-6x+30=16
9y+6x+18=222
add
19y+48=238
19y=190
y=10
2x=74-6-3y=38
x=19
length of rectangle=19 metres
breadth of rectangle=10 meters
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