document.write( "Question 175327: the perimeter of a rectangle is 42m . the length of the rectangle is 3m less than twice the width . fine the length and the width of the rectangle . \n" ); document.write( "
Algebra.Com's Answer #130397 by actuary(112)![]() ![]() ![]() You can put this solution on YOUR website! Let l = the length of the rectangle\r \n" ); document.write( "\n" ); document.write( "Let w = the width of the rectangle\r \n" ); document.write( "\n" ); document.write( "2*l+2*w=42 (Equation #1)\r \n" ); document.write( "\n" ); document.write( "l = 2*w-3 (Equation #2)\r \n" ); document.write( "\n" ); document.write( "Substitute equation 1 for \"l\" in Equation #2\r \n" ); document.write( "\n" ); document.write( "2*(2w-3)+2w=42\r \n" ); document.write( "\n" ); document.write( "4*w-6+2*w=42\r \n" ); document.write( "\n" ); document.write( "Collect like terms\r \n" ); document.write( "\n" ); document.write( "6w=48 \n" ); document.write( "Solve for w \n" ); document.write( "w=8\r \n" ); document.write( "\n" ); document.write( "Substitute w=8 into Equation #1\r \n" ); document.write( "\n" ); document.write( "2*l+2*8=42\r \n" ); document.write( "\n" ); document.write( "2*l+16=42 \n" ); document.write( "Solve for l\r \n" ); document.write( "\n" ); document.write( "2*l=26\r \n" ); document.write( "\n" ); document.write( "So l=13. \n" ); document.write( " \n" ); document.write( " |