document.write( "Question 559974: The Length of a rectangular room is 2 feet longer than twice the width. If the room's perimeter is 136 feet, what are the room's dimensions? \n" ); document.write( "

Algebra.Com's Answer #363602 by josmiceli(19441) $\"\"$ $\"About$

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Given:
\n" ); document.write( "(1) $\"+L+=+2W+%2B+2+\"$ ft
\n" ); document.write( "also
\n" ); document.write( "The formula for Perimeter is
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( "Given:
\n" ); document.write( " $\"+P+=+136+\"$ ft
\n" ); document.write( "(2) $\"+2W+%2B+2L+=+136+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+L+=+2W+%2B+2+\"$
\n" ); document.write( "(1) $\"+2W+-+L+=+-2+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+2W+%2B+2L+=+136+\"$
\n" ); document.write( "(1) $\"+-2W+%2B+L+=+2+\"$
\n" ); document.write( " $\"+3L+=+138+\"$
\n" ); document.write( " $\"+L+=+46+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+L+=+2W+%2B+2+\"$
\n" ); document.write( "(1) $\"+2W+=+L+-+2+\"$
\n" ); document.write( "(1) $\"+W+=+%281%2F2%29%2A%28+L+-+2+%29+\"$
\n" ); document.write( "(1) $\"+W+=+%281%2F2%29%2A%28+46+-+2+%29+\"$
\n" ); document.write( "(1) $\"+W+=+44%2F2+\"$
\n" ); document.write( "(1) $\"+W+=+22+\"$
\n" ); document.write( "The room's dimensions are 22' x 46'
\n" ); document.write( "check:
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( " $\"+136+=+2%2A22+%2B+2%2A46+\"$
\n" ); document.write( " $\"+136+=+44+%2B+92+\"$
\n" ); document.write( " $\"+136+=+136+\"$
\n" ); document.write( "OK
\n" ); document.write( "(1) $\"+L+=+2W+%2B+2+\"$
\n" ); document.write( "(1) $\"+46+=+2%2A22+%2B+2+\"$
\n" ); document.write( "(1) $\"+46+=+44+%2B+2+\"$
\n" ); document.write( "(1) $\"+46+=+46+\"$
\n" ); document.write( "OK \n" ); document.write( "

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