document.write( "Question 581543: A rectangle is constructed. The length of this rectangle is double the width. Then a new rectangle is made by increasing each side by 3 meters. The perimeter of the new rectangle is 2 meters greater than four tiimes the length of the old rectangle. Find the dimensions of the original rectangle. \n" ); document.write( "
Algebra.Com's Answer #371697 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! Old rectangle:\r \n" ); document.write( "\n" ); document.write( "L = 2W \r \n" ); document.write( "\n" ); document.write( "New rectangle:\r \n" ); document.write( "\n" ); document.write( "L+3, W+3\r \n" ); document.write( "\n" ); document.write( "Perimter:\r \n" ); document.write( "\n" ); document.write( "P = 2(L+W) = 2(2W+3 + W+3) = 4(2W) + 2\r \n" ); document.write( "\n" ); document.write( "2(3W+6) = 8W + 2\r \n" ); document.write( "\n" ); document.write( "6W + 12 = 8W + 2\r \n" ); document.write( "\n" ); document.write( "2W = 10\r \n" ); document.write( "\n" ); document.write( "W = 5\r \n" ); document.write( "\n" ); document.write( "original dimensions: 10 x 5\r \n" ); document.write( "\n" ); document.write( "CHECK:\r \n" ); document.write( "\n" ); document.write( "Old rectangle: 10 x 5 \n" ); document.write( "New rectangle: 13 x 8\r \n" ); document.write( "\n" ); document.write( "P(new) = 2(21) = 42 = 4(10) + 2 √ \n" ); document.write( " |