A rectangular park has an area of 120m2. Its length exceeds its breadth by 1m.
(i) Taking the breadth of the park to be xm, form a quadratic equation in x that represents the given information.
(ii) Solve the quadratic equation obtained in part (i) and hence find the exact dimensions of the park.
(iii) Show by direct substitution that your answers satisfy both the area and the length–breadth conditions of the problem.