the length is x+5 and the width is 3x-7

Length = x + 5

Width = 3x - 7

Area = Length * Width

Area = (x + 5)(3x - 7)

Area = x(3x - 7) + 5(3x - 7)

Area = 3x^2 - 7x + 15x - 35

Area = 3x^2 + 8x - 35

So the quadratic function for area is

f(x) = 3x^2 + 8x - 35

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