document.write( "Question 288278: The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #208946 by amnd(23)![]() ![]() You can put this solution on YOUR website! Consider L as its length, and W as its width.\r \n" ); document.write( "\n" ); document.write( "L is 2 inches less than 3 times W. This means that 3W subtracted by 2 would yield L: \n" ); document.write( "L = 3W - 2 \n" ); document.write( "3W - L = 2 ... (1)\r \n" ); document.write( "\n" ); document.write( "The perimeter of a rectangle is twice its width summed with twice its length: \n" ); document.write( "2w + 2L = 28 \n" ); document.write( "simplified, by dividing with 2: \n" ); document.write( "W + L = 14 ... (2)\r \n" ); document.write( "\n" ); document.write( "Add up Equations (1) and (2) (in which L will be eliminated, as -L + L = 0): \n" ); document.write( ". \n" ); document.write( "3W - L = 2 \n" ); document.write( "1W + L = 14 \n" ); document.write( "-------------- + \n" ); document.write( "4W = 16 \n" ); document.write( "W = 4 \n" ); document.write( ". \n" ); document.write( "Because W + L = 14, L = 14 - w = 14 - 4 -> L = 10 \n" ); document.write( " |