document.write( "Question 1059001: John is building a rectangular chicken coop in his backyard. He plans to use the existing fence as one side of the coop. John has 37 Feet of fencing.\r
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document.write( "Create a function that represents the area of the chicken coop.\r
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document.write( "What are the dimensions of the chicken coop that maximizes the area? What is the maximum area of the chicken coop? \n" );
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Algebra.Com's Answer #674081 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! John is building a rectangular chicken coop in his backyard. He plans to use the existing fence as one side of the coop. John has 37 Feet of fencing. \n" ); document.write( "Create a function that represents the area of the chicken coop. \n" ); document.write( "What are the dimensions of the chicken coop that maximizes the area? What is the maximum area of the chicken coop? \n" ); document.write( "----- \n" ); document.write( "Note:: Need the fencing for 3 sides of the rectangle \n" ); document.write( "Let width = w \n" ); document.write( "Then length = 37-2w \n" ); document.write( "-------------- \n" ); document.write( "Area = width*length = -2w^2 + 37w \n" ); document.write( "-------------------- \n" ); document.write( "Max area occurs when w = -b/(2a) = -37/(2*-2) = 9.25 \n" ); document.write( "Then length = 37-2w = 37-18.5 = 18.5 ft \n" ); document.write( "------ \n" ); document.write( "Max Area = W*L = 9.25*18.5 = 171.125 sq. ft \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |