document.write( "Question 413363: The length of a rectangle is 5 inches less than three times its widths. The perimeter is 86 inches. Find the length and width \n" ); document.write( "
Algebra.Com's Answer #290100 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The length of a rectangle is 5 inches less than three times its widths. The perimeter is 86 inches. Find the length and width.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = width \n" ); document.write( "3x - 5 = length {length is 5 less than 3 times width}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2(3x - 5) = 86 {perimeter = (2 x width) + (2 x length)} \n" ); document.write( "2x + 6x - 10 = 86 {used distributive property} \n" ); document.write( "8x - 10 = 86 {combined like terms} \n" ); document.write( "8x = 96 {added 10 to both sides} \n" ); document.write( "x = 12 {divided both sides by 8} \n" ); document.write( "3x - 5 = 31 {substituted 12, in for x, into 3x - 5}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 12 in. \n" ); document.write( "length = 31 in. \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |