document.write( "Question 799096: If the area of a rectangle is 24 inches squared, what are the possible whole number measurements of its length & width? \n" ); document.write( "

Algebra.Com's Answer #482521 by KMST(5328) $\"\"$ $\"About$

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$\"24=8%2A3=2%5E3%2A3\"$
\n" ); document.write( "All the factors of $\"24\"$ will be of the form $\"2%5Ex%2A3%5Ey\"$
\n" ); document.write( "where $\"x\"$ can be 0, 1, 2,or 3,
\n" ); document.write( "and $\"y\"$ can be 0, or 1.
\n" ); document.write( "There are $\"4%2A2=8\"$ options, meaning $\"8%2F2=4\"$ pairs of factors:
\n" ); document.write( " $\"1%2A24=24\"$ ,
\n" ); document.write( " $\"2%2A12=24\"$ ,
\n" ); document.write( " $\"3%2A8=24\"$ , and
\n" ); document.write( " $\"4%2A6=24\"$ .
\n" ); document.write( "So the rectangle could be
\n" ); document.write( " $\"24\"$ inches long by $\"1\"$ inch wide, or
\n" ); document.write( " $\"12\"$ inches long by $\"2\"$ inches wide, or
\n" ); document.write( " $\"8\"$ inches long by $\"3\"$ inches wide, or
\n" ); document.write( " $\"6\"$ inches long by $\"4\"$ inches wide. \n" ); document.write( "

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