the perimeter of a rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, then, area increased by 44m^2. Find the length and breadth of the rectangle
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2(x +y)= 100
x +y=50 ....1
(x-2) (y+3)= xy +44
xy + 3x -2y- 6 =xy + 44
3x -2y=44+6( hence xy get cancelled)
3x-2y =50 .....2
Applying elimination in 1 & 2
x + y =50
3x - 2y=50
Multiply equ. 1 by 2
2x + 2y= 100
3x -2y =50
(+2y & -2y get cancelled)
Now,
5x=150
x=30
Put x=30 in 1
30 +y = 50
y =20