document.write( "Question 569997: is there Rectangle with 4 square cm and perimeter 10 \n" ); document.write( "
Algebra.Com's Answer #367498 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " LW = 4\r\n" ); document.write( " 2L + 2W = 10\r\n" ); document.write( "\r\n" ); document.write( "Divide the second equation by 2\r\n" ); document.write( "\r\n" ); document.write( " L + W = 5\r\n" ); document.write( "\r\n" ); document.write( "Solve for L\r\n" ); document.write( "\r\n" ); document.write( " L = 5 - W\r\n" ); document.write( "\r\n" ); document.write( "Substitute in\r\n" ); document.write( "\r\n" ); document.write( " LW = 4\r\n" ); document.write( "\r\n" ); document.write( " (5 - W)W = 4\r\n" ); document.write( "\r\n" ); document.write( " 5W - W² = 4\r\n" ); document.write( "\r\n" ); document.write( " -W² + 5W - 4 = 0 \r\n" ); document.write( "\r\n" ); document.write( "Multiply through by -1\r\n" ); document.write( "\r\n" ); document.write( " W² - 5W + 4 = 0\r\n" ); document.write( "\r\n" ); document.write( "(W - 4)(W - 1) = 0\r\n" ); document.write( "\r\n" ); document.write( "W - 4 = 0; W - 1 = 0\r\n" ); document.write( "\r\n" ); document.write( " W = 4; W = 1\r\n" ); document.write( "\r\n" ); document.write( "L = 5 - W L = 5 - W\r\n" ); document.write( "\r\n" ); document.write( "L = 5 - 4 L = 5 - 1\r\n" ); document.write( "\r\n" ); document.write( "L = 1 L = 4\r\n" ); document.write( "\r\n" ); document.write( "So either a 1cm x 4cm or a 4cm x 1 cm rectangle.\r\n" ); document.write( "\r\n" ); document.write( "Either of these, which are draw to scale:\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |