Question 253329
Let the length of the rectangle be x
Given, the width is 5 units less than the length.
So the breadth of the rectangle = x-5
Area of the rectangle is x(x-5) = 24
          x^2-5x-24 = 0
          (x-8)(x+3) = 0
                 x-8 = 0 or x+3 = 0
                   x = 8  or x = -3 
x cannot be negative
So we get x = 8
Therefore the length of the rectangle = 8 miles
and the breadth of the rectangle = x-5 = 8-5 = 3 miles