e=&platformld=103032Qmeasures to the nearest hundredth.70. Construction of a Rain Guttersheet metal is 20 inches wide. It is to be made into a raingutter by turning up the edges to form parallel sides. Let xrepresent the length of each of the parallel sides in inches.See the figure.A rectangular piece of20 in.20 - 2x(a) Give the restrictions on x.(b) Determine a function A that gives the area of a crosssection of the gutter.(c) For what value of x will A be a maximum (and thusmaximize the amount of water that the gutter willhold)? What is this maximum area?(d) For what values of x will the area of a cross section beless than 40squareinches?

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70. Construction of a Rain Gutter A rectangular piece of sheet metal is 20 inches wide. It is to be made into a rain gutter by turning up the edges to form parallel sides. Let x represent the length of each of the parallel sides in inches. See the figure. 20 in. 20 - 2.x (a) Give the restrictions on x. (b) Determine a function A that gives the area of a cross section of the gutter. (c) For what value of x will A be a maximum (and thus maximize the amount of water that the gutter will hold)? What is this maximum area?