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(a) Solve the equation, `(x + 3)/ 24 = 1/ (x-2)`(b) The length of a floor of a rectangular hall is 9 m more than its width. The area of a floor is `136 m^2`. (i) Calculate the perimeter of the floor. (ii) A rectangular carpet is placed on the hall leaving an area of `64 m^2`. If the length of the carpet is
twice its width, determine the width of the carpet.