document.write( "Question 871470: A factory is to be built on a lot that measures 80m by 60m. A lawn of uniform width and equal in area of the factory must surround the factory. What dimensions must the factory have?
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document.write( "Using quadratic equations and the quadratic formula (grade 10) \n" );
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Algebra.Com's Answer #525544 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! 80 and 60 dimensions of lot.\r \n" ); document.write( "\n" ); document.write( "Lot, 80*60 is the area. \n" ); document.write( "Let w = uniform width surrounding the factory. \n" ); document.write( "Factory area = (80-2w)(60-2w).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factory and lawn of uniform width are equal in area. Think carefully about this. The lot area is TWO times the factory area.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Or depending how best you think this, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for w and use the value to find the dimensions of the FACTORY. \n" ); document.write( " |