The perimeter of a rectangle is 112 cm and its breadth is x cm. (i) Find, in terms of x, an expression for the length of the rectangle. (ii) Given that the area of the rectangle is 597 〖cm〗^2, formulate an equation in x and show that it reduces to x^2 – 56x + 597 = 0. (iii) Solve the equation x^2 – 56x + 597 = 0, giving both answers correct to 2 decimal places. (iv) Hence, find the length of the diagonal of the rectangle.
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