The area of rectangle reduce by 160^2 if it's length is increased by 5mand breadth is reduced by 4m. how ever ,if the length is decre based by 10m and breadth is increased by 2m then it's area is decreased by 100m^2 .find the dimension of the rectangle.
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Answer: y=20m
x=60m
Step-by-step explanation:
let the length be x
breadth be y
therefore area of rectangle is xy
eq1: (x+5)(y-4)=xy-160
eq2:(x-10)(y+2)=xy-100
eq1 becomes xy-4x+5y-20=xy-160
-4x+5y=-140----eq3
eq2 becomes xy+2x-10y-20=xy-100
2x-10y=-80----eq4
multiply eq4 with -2
it becomes -4x+20y=160-----eq5
subract eq5 from eq 3
ans is y=20m
substitute y value in eq1
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