document.write( "Question 1152887: A rectangular room is 6 meters longer than it is wide, and it’s perimeter is 24 meters. Find the dimension of the room.
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document.write( "A.) write an equation in terms of width, w that models the situation. Simplify it but do not solve. \n" );
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Algebra.Com's Answer #775007 by ikleyn(52866) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let the width be x meters; then the length is (x+6) meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The perimeter is the sum of four lengths\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P = x + (x+6) + x + (x+6) = 2x + 2*(x+6), or\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 24 = 2x + 2*(x+6).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You may write it in this form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + (x+6) = 24/2\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " x + (x+6) = 12.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I STOP at this point, since the assignment does nor requires to solve the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The person, familiar with the subject, who just solved such problems many times, writes the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " x + (x+6) = half of the perimeter\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "without any explanations, assuming that everything is just crystally clear.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |