Answer :

Let the length and breadth of rectangle be l and b meters respectively.


area of rectangle = l×b


According to question -


(l + 3)(b - 4) = (l×b) - 67


lb - 4l + 3b - 12 = lb - 67


4l - 3b = 55.....(1)


and,


(l - 1)(b + 4) = (l×b) + 89


lb + 4l - b - 4 = lb + 89


4l - b = 93.....(2)


Subtracting Equation (1) From equation (2), we get -


b = 19


Substituting the value of b in equation (2), we get -


l = 28


Thus, Length = 28 meters and Breadth = 19 meters.


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