A campground owner has 1400 m of fencing. He wants to enclose a rectangular field bordering a
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A campground owner has 1400 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing needed along the river. (See the sketch.) Let x represent the width of the field.
(a) Write an expression for the length of the field.
(b) Find the area of the field (area = length * width).
(c) Find the value of x leading to the maximum area.
(d) Find the maximum area.
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