A rectangular park is 50m long and 30m wide. A concrete path of uniform width xm is laid all along the inside edge of the park, reducing the grass area to 1080m2. Answer the following questions based on this information.
a. (i) Form an equation in x that represents the area of the remaining grass portion of the park.
b. (ii) Simplify the equation obtained in part (i) and factorise it completely.
c. (iii) Find the possible values of x from the factorised form.
d. (iv) State which value of x is acceptable in the context of the problem and explain why.