document.write( "Question 845382: The perimeter of a rectangular field is 628 meters . The length is 6 more than the width . Set up a system of equations and solve to find the length and width \n" ); document.write( "
Algebra.Com's Answer #509250 by josgarithmetic(39632) ![]() You can put this solution on YOUR website! This kind of question seems so common. What if you generally had: \n" ); document.write( "' \n" ); document.write( "The perimeter of a rectangle is p meters . The length is k more than the width . Set up a system of equations and solve to find the length and width.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let L = length \n" ); document.write( "Let w = width\r \n" ); document.write( "\n" ); document.write( "Perimeter information gives \n" ); document.write( "Other description gives \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those are the equations for the system having L and w as variables, UNKNOWN variables. Sometimes one equation or the other could use refinement or simplification before using a final form of the system of equations. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Often the choice for which method to solve the system is the student's. The general system shown above can easily be handled through substituting for L in the perimeter equation, and then solve for w. ... \n" ); document.write( "An alternative can be, substitute for w in one of the equations. \n" ); document.write( "Another alternative is, depending on simplifications made, use the system as: \n" ); document.write( "------------ \n" ); document.write( "2L+2w=p \n" ); document.write( "------------ \n" ); document.write( "L-w=k \n" ); document.write( "------------ \n" ); document.write( "and use Elimination Method. \n" ); document.write( " |