document.write( "Question 233167: please help me solve this problem\r
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document.write( "A rectangular garden is 15 ft longer than it is wide. Its area is 4500 feet squared. What are its dimensions? \n" );
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Algebra.Com's Answer #172141 by Theo(13342)![]() ![]() You can put this solution on YOUR website! L = length \n" ); document.write( "W = width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = W + 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = area = L*W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L*W = 4500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since L = W + 15, this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(W + 15) * W = 4500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This becomes W^2 + 15*W = 4500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 4500 from both sides to get W^2 + 15*W - 4500 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factor to get (W - 60) * (W + 75) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This makes W = 60 or W = -75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W can't be negative so W = 60 or not at all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take W = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This makes L = W + 15 = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60 * 75 = 4500 so the area is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = 15 more than W so L and W are ok.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your answer is that the dimensions are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Length = 75 feet \n" ); document.write( "Width = 60 feet \n" ); document.write( "Area = 4500 square feet\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |