Sam has 1000 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.
O A(x) = 500x + x?; Maximum area of 187,500 square feet occurs for a garden of width 250 ft
O A(x) = 500 – x?; Maximum area of 500 square feet occurs for a garden of width 499.00 ft
O A(x) = 500 - x; Maximum area of 500 square feet occurs for a garden of width 0 ft
O A(x) = 500x - x2: Maximum area of 125,000 square feet occurs for a garden of width 250 ft
O A(x) = 500x - x?; Maximum area of 62,500 square feet occurs for a garden of width 250 ft