document.write( "Question 547501: You have 24 feet of fence to make a rectangular garden. Each side must measure a whole number of feet.\r
\n" ); document.write( "\n" ); document.write( "How many different sized rectangular gardens can you make? Show your work by using pictures and or number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Explain using math vocabulary how you solved the problem. \n" ); document.write( "
Algebra.Com's Answer #356433 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "P = 2L + 2W = 24        <--- perimeter formula\r\n" );
document.write( "\r\n" );
document.write( "      L + W = 12        <--- divided through by 2\r\n" );
document.write( "\r\n" );
document.write( "          W = 12 - L    <--- solved for W\r\n" );
document.write( "\r\n" );
document.write( "          W ≧ 1        <--- 1 is least possible value for width \r\n" );
document.write( "\r\n" );
document.write( "     12 - L ≧ 1        <--- Substituted 12 - L for W\r\n" );
document.write( "\r\n" );
document.write( "         -L ≧ -11      <--- Subtracted 12 from both sides\r\n" );
document.write( "     \r\n" );
document.write( "          L ≦ 11       <--- Divided both sides by -1, reversed inequality\r\n" );
document.write( "\r\n" );
document.write( "      L + W = 12       <--- from 2nd step above\r\n" );
document.write( "\r\n" );
document.write( "          L = 12 - W   <--- Solved for L  \r\n" );
document.write( "\r\n" );
document.write( "          L ≧ 1        <--- 1 is least possible value for length\r\n" );
document.write( "\r\n" );
document.write( "     12 - W ≧ 1        <--- Substituted 12 - W for L\r\n" );
document.write( "\r\n" );
document.write( "         -W ≧ -11      <--- Subtracted 12 from both sides\r\n" );
document.write( "\r\n" );
document.write( "          W ≦ 11       <--- Divided both sides by -1, reversed inequality\r\n" );
document.write( "  \r\n" );
document.write( "      1 ≦ L ≦ 11      <--- From above\r\n" );
document.write( "\r\n" );
document.write( "      1 ≦ W ≦ 11      <--- From above \r\n" );
document.write( "\r\n" );
document.write( "L  1  2  3  4  5  6  7  8  9 10 11\r\n" );
document.write( "----------------------------------\r\n" );
document.write( "W 11 10  9  8  7  6  5  4  3  2  1\r\n" );
document.write( "\r\n" );
document.write( "It looks like there are 11, but there are only \r\n" );
document.write( "\r\n" );
document.write( "6 possibilities, because for instance,\r\n" );
document.write( "\r\n" );
document.write( "a 5ft x 7ft and a 7ft x 5ft are the same size.\r\n" );
document.write( "\r\n" );
document.write( "The 6 possibilities are:\r\n" );
document.write( "\r\n" );
document.write( "1.   1ft×11ft\r\n" );
document.write( "2.   2ft×10ft\r\n" );
document.write( "3.   3ft×9ft\r\n" );
document.write( "4.   4ft×8ft\r\n" );
document.write( "5.   5ft×7ft\r\n" );
document.write( "6.   6ft×6ft\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );