document.write( "Question 1064739: Somebody solve this please........the length of a rectangular mailing label is 5 centimeters less than twice the width. The perimeter is 38 centimeters. Find the dimensions of the label...... \n" ); document.write( "
Algebra.Com's Answer #679824 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x be the width\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"The length of a rectangular mailing label is 5 centimeters less than twice the width\" means that the length is 2x-5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have these three facts: \n" ); document.write( "W = x \n" ); document.write( "L = 2x-5 \n" ); document.write( "P = 38\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We'll use those three facts above to find x. The formula used is the rectangle perimeter formula\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2*(L+W)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "38 = 2*(x+2x-5) ... substitute (see equations above)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "38 = 2*(3x-5)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "38 = 2*(3x)+2(-5)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "38 = 6x-10\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x-10 = 38\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x-10+10 = 38+10\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x = 48\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x/6 = 48/6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know now that x = 8. So the width is 8 cm. Recall that at the top we let x = width.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The length is L = 2x-5 = 2*8-5 = 16-5 = 11 cm\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In summary, the dimensions are 11 cm by 8 cm\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |