document.write( "Question 1045783: A rectangular room is 6 meters longer than it is wide, and its perimeter is
\n" ); document.write( "24 meters. Find the dimension of the room. \n" ); document.write( "

Algebra.Com's Answer #661265 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+W+\"$ = the width of the room in meters
\n" ); document.write( " $\"+W+%2B+6+\"$ = the length of the room in meters
\n" ); document.write( "-------------------
\n" ); document.write( "The formula for perimeter $\"+P+\"$ is:
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( "and, for this problem,
\n" ); document.write( " $\"+L+=+W+%2B+6+\"$ and
\n" ); document.write( " $\"+P+=+24+\"$
\n" ); document.write( " $\"+P+=+2W+%2B+2%2A%28+W+%2B+6+%29+\"$
\n" ); document.write( " $\"+24+=+2W+%2B+2W+%2B+12+\"$
\n" ); document.write( " $\"+4W+=+12+\"$
\n" ); document.write( " $\"+W+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+W+%2B+6+=+3+%2B+6+\"$
\n" ); document.write( " $\"+W+%2B+6+=+9+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "the dimensions of the room are 3 x 9
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( " $\"+P+=+2%2A3+%2B+2%2A9+\"$
\n" ); document.write( " $\"+P+=+6+%2B+18+\"$
\n" ); document.write( " $\"+P+=+24+\"$
\n" ); document.write( "OK \n" ); document.write( "

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