Question: A rancher plans to fence a rectangular pasture adjacent to a river (see figure). The rancher has 100 meters of fencing, and no fencing is

A rancher plans to fence a rectangular pasture adjacent to a river (see figure). The rancher has 100 meters of fencing, and no fencing is needed along the river.

(a) Write the area A of the pasture as a function of x, the length of the side parallel to the river. What is the domain of A?
(b) Graph the function A and estimate the dimensions that yield the maximum area of the pasture.
(c) Find the exact dimensions that yield the maximum area of the pasture by writing the quadratic function in standard form?

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