作业帮math problem #3
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math problem #3
a farmer has 600 ft of fence and wants to section off 3 equal rectangular pens for his pigs.the pen closet to the barn will only need to be fenced on 3 sides since it will connect to the barn.find the dimensions of the total pig pen that maximizes the area
a farmer has 600 ft of fence and wants to section off 3 equal rectangular pens for his pigs.the pen closet to the barn will only need to be fenced on 3 sides since it will connect to the barn.find the dimensions of the total pig pen that maximizes the area
if the farmer wants 3 equal rectangular pens,then each pen would be made by 200 ft of fence.suppose that the length connect to the barn is x ft,then the other sides of the rectangle have the identical length of (200-x)/2 ft.hence the pen area is S=x(200-x)/2,when x=100ft S has the maximum value that is 5000 sqrft
the length of each side are 100ft 50ft 50ft
the length of each side are 100ft 50ft 50ft