document.write( "Question 662309: the perimeter of a rectangle is 64ft. describe the possible lengths of a side if the area of the rectangle is not to exceed 192 square feet. \n" ); document.write( "

Algebra.Com's Answer #412159 by sravanik2005(14) $\"\"$ $\"About$

You can put this solution on YOUR website!
perimeter,2(l+w)=64 => l+w=32
\n" ); document.write( "and lw<=192
\n" ); document.write( " l(32-l)<=192
\n" ); document.write( " l^2-32l+192<=0
\n" ); document.write( " (l-24)(l-8)<=0
\n" ); document.write( "8<=l<=24
\n" ); document.write( "and 8<=w<=24
\n" ); document.write( "hence possible lengths are (8,24)(9,23)(10,22)(11,21)(12,20)(13,19)(14,18)(15,17)(16,16) \n" ); document.write( "

\n" );