document.write( "Question 826832: The perimeter of a rectangular lot is at most 28m. The difference between the length and the width is at least 4m. What could be the possible dimensions of the lot? \n" ); document.write( "
Algebra.Com's Answer #498286 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
x length
\n" ); document.write( "w width
\n" ); document.write( "Perimeter, \"2x%2B2w=28\", simplifies to \"x%2Bw=14\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-w%3E=4\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve for either variable from the equation and substitute it into the inequality.
\n" ); document.write( "\"w=14-x\";
\n" ); document.write( "\"x-%2814-x%29%3E=4\"
\n" ); document.write( "\"x-14%2Bx%3E=4\"
\n" ); document.write( "\"2x-14%3E=4\"
\n" ); document.write( "\"x-7%3E=2\"
\n" ); document.write( "\"highlight%28x%3E=9%29\"
\n" ); document.write( "-
\n" ); document.write( "Note that \"x%3C14\" because of perimeter restriction. This means, \"highlight%289%3C=x%3C14%29\". You can determine the corresponding sizes for w.
\n" ); document.write( "w=14-x, so 14-9=5. This would mean, \"highlight%285%3E=w%3E0%29\".
\n" ); document.write( "Those intervals for x and w allow an infinite set of pairs.
\n" ); document.write( "One example is 9 by 5. Another example is 13 by 1.
\n" ); document.write( "
\n" );