document.write( "Question 607410: the length of a recreation room is 2.1 m longer than its width if the permiter of the room is 20.6 m what are the dimensions.thanks you very much \n" ); document.write( "

Algebra.Com's Answer #382678 by josmiceli(19441) $\"\"$ $\"About$

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The formula for perimeter is $\"+P+=+2L+%2B+2W+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+L+=+W+%2B+2.1+\"$ m
\n" ); document.write( " $\"+P+=+20.6+\"$ m
\n" ); document.write( "-------------
\n" ); document.write( "By substitution,
\n" ); document.write( " $\"+20.6+=+2%2A%28+W+%2B+2.1+%29+%2B+2w+\"$
\n" ); document.write( " $\"+20.6+=+2W+%2B+4.2+%2B+2W+\"$
\n" ); document.write( " $\"+4W+=+20.6+-+4.2+\"$
\n" ); document.write( " $\"+4W+=+16.4+\"$
\n" ); document.write( " $\"+W+=+4.1+\"$
\n" ); document.write( " $\"+L+=+W+%2B+2.1+\"$
\n" ); document.write( " $\"+L+=+4.1+%2B+2.1+\"$
\n" ); document.write( " $\"+L+=+6.2+\"$
\n" ); document.write( "the dimensions are 4.1 x 6.2 m2
\n" ); document.write( "check:
\n" ); document.write( " $\"+P+=+2L+%2B+2W+\"$
\n" ); document.write( " $\"+20.6++=+2%2A6.2+%2B+2%2A4.1+\"$
\n" ); document.write( " $\"+20.6+=+12.4+%2B+8.2+\"$
\n" ); document.write( " $\"+20.6+=+20.6+\"$
\n" ); document.write( "OK \n" ); document.write( "

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