document.write( "Question 25578: The perimeter of a badminton court is 128 feet. After a game of badminton, a player’s coach estimates that the athlete has run a total of 444 feet, which is equivalent to 6 times the court’s length plus nine times its width. What are the dimensions of the badminton court?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #13704 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The perimeter is 2l+2w=128 \n" ); document.write( "In addition you are told the following: \n" ); document.write( " 6l+9w=444\r \n" ); document.write( "\n" ); document.write( "Solve by substitution: \n" ); document.write( "l+w=64 \n" ); document.write( "l=64-w \n" ); document.write( "Rewrite the 2nd equation to get: \n" ); document.write( "6(64-w)+9w=444 \n" ); document.write( "384-6w+9w=444 \n" ); document.write( " 3w=60 \n" ); document.write( " w=20 feet \n" ); document.write( " l=64-20=44 feet\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |