A rectangular garden has an algebraic area (in square metres) given by 12x2+7x−10, where x is measured in metres.
(i) Express the area polynomial as a product of two linear factors to obtain algebraic expressions for the possible length and breadth of the garden.
(ii) If the breadth of the garden is 7m, form an equation in x and determine the corresponding value of x.
(iii) Hence calculate the actual numerical values of the length, breadth and perimeter of the garden.