A rectangular garden is to be fenced in and divided into three parallel sections. The fencing for the boundary costs $20 per foot whereas the fencing for the dividing fences costs $5 per foot. Consider the problem of finding the dimensions of the largest garden possible if the gardener can spend $2000 for the fencing. Find the values of l and w for which the total area of the garden is as large as possible. 

Fill in the blank(s) with the appropriate word(s).


l = 25 ft, w = 20 ft

Mathematics

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