document.write( "Question 667047: The perimeter of a tennis court is 228 feet. After a round of tennis, a player's coach estimates that the athlete has run a total of 690 feet, which is equivalent to 7 times the court's length plus four times its width. What are the dimensions? \n" ); document.write( "
Algebra.Com's Answer #414802 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let length =x \n" ); document.write( "width y\r \n" ); document.write( "\n" ); document.write( "2(x+y) = perimeter\r \n" ); document.write( "\n" ); document.write( "2(x+y)=228 \n" ); document.write( "x+y=114...................(1)\r \n" ); document.write( "\n" ); document.write( "7x+4y=690.................(2)\r \n" ); document.write( "\n" ); document.write( "multiply equation (1) by -4 \n" ); document.write( "we get -4x-4y=-456 \n" ); document.write( "add this equation to (2) \n" ); document.write( "3x= 234 \n" ); document.write( "/3 \n" ); document.write( "x= 78 the length\r \n" ); document.write( "\n" ); document.write( "plug x in (1) \n" ); document.write( "x+y=114 \n" ); document.write( "78+y=114 \n" ); document.write( "y=114-78 \n" ); document.write( "y=36 the width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |