A rectangular garden is bounded on one side by a house and is to be fenced on the other three sides. Fencing material costs $10 per foot for the side parallel to the house and $20 per foot for the other two sides. What are the dimensions of the garden of largest possible area if $2000 is to be spent for fencing material?

Question

ganpat · Answer

20 * 2 * b + 10 * l = 2000
If area (l*b)= largest, l=b (Square is the largest rectangle)

so 40 b + 10 b = 2000

50 b = 2000

b = 40 ft... 

so largest are = l * b = 40 * 40 =  1600 sq ft..

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