document.write( "Question 1144107: How do I solve the following problem: The length of a rectangle is 2 cm less than 7 times the width. The perimeter is 60 cm. Find the width and length. \n" ); document.write( "
Algebra.Com's Answer #765094 by Theo(13342)![]() ![]() You can put this solution on YOUR website! length is 2 centimeters less than the 7 times the width. \n" ); document.write( "let l = length \n" ); document.write( "let w = width \n" ); document.write( "l = 7w - 2 \n" ); document.write( "perimeter = 60 cm = 2 * (length + width) = 2 * (l + w). \n" ); document.write( "since l = 7w - 2, then perimeter = 2 * (7w - 2 + w). \n" ); document.write( "combine like terms to get perimeter = 2 * (8w - 2). \n" ); document.write( "simplify to get perimeter = 16w - 4. \n" ); document.write( "since perimeter = 60 centimeters, then 60 = 16w - 4 \n" ); document.write( "add 4 to both sides of this equation to get 64 = 16w \n" ); document.write( "solve for w to get w = 64 / 16 = 4. \n" ); document.write( "since l = 7w - 2, then l = 7*4 - 2 = 28 - 2 = 26. \n" ); document.write( "you have length = 26 and width = 4. \n" ); document.write( "perimeters = 2 * (length + width) = 2 * (26 + 4) = 2 * 30 = 60. \n" ); document.write( "solution is confirmed to be good. \n" ); document.write( "width = 4 \n" ); document.write( "length = 26\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |