A rain gutter is formed by bending up the sides of a 40-in.-wide rectangular metal sheet as shown in the figure. width (a) Find a function that models the cross-sectional area of the gutter in terms of x. A(x) = || (b) Find the value of x that maximizes the cross-sectional area of the gutter. x = in (c) What is the maximum cross-sectional area for the gutter? in?

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