Important question from quadratic equation related to area and perimeter.

A rectangular playground has its length 30m more than its breadth but 30m shorter than its diagonal.
(a) Form a quadratic equation to represent the above information in terms of breadth.
(b) By solving the equation, find the length and breadth of the ground.
(c) If the ground is to be covered with an artificial grass carpet of size 12m x 9m, how many pieces of carpet are required?