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Algebra
Pregunta

A campground owner has $$2500$$ m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the sketch.) Let $$x$$ represent the width of the field.

(a) Write an expression for the length of the field as a function of $$x$$ . (b) Find the area of the field (area = length $$x$$ width) as a function of $$x$$ .

(c) Find the value of $$x$$ leading to the maximum area.

(d) Find the maximum area. (a) $$\ell ( x ) = \square$$