Sam has 600 ft of fencing to fence in a rectangular garden. Find a function A that models the area of the garden in terms of the width of the garden and determine the maximum area of the garden and the corresponding width of the garden to attain this maximum area.
A) ; Maximum area of 67500 square feet occurs for a garden of width 150 ft
B) ; Maximum area of 300 square feet occurs for a garden of width 299.00 ft
C) ; Maximum area of 300 square feet occurs for a garden of width 0 ft
D) ; Maximum area of 45000 square feet occurs for a garden of width 150 ft
E) ; Maximum area of 22500 square feet occurs for a garden of width 150 ft
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