book Maths Puzzle Numerical Ability

Find the dimensions and maximum area of a rectangle if its perimeter is 48 inches. Also find the vertex, width, and the original area of the rectangle. I would really apreciate it

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add or subtract, simplify if possible and show steps to answer

x-4/x-3 + x-1/3-x Find (a)the directix,(b)the focus and (c)the roots of the parabola y=x^2-5x+4