document.write( "Question 488641: The perimeter of a rectangle is 56. The width is one-third the length. Write two equations that represent this scenario.
\n" ); document.write( "Find the dimensions of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #333425 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
let $\"a\"$ = length
\n" ); document.write( "Let $\"b\"$ = width
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(2) $\"+2a+%2B+2b+=+56+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2%2A%283b%29+%2B+2b+=+56+\"$
\n" ); document.write( "(2) $\"+6b+%2B+2b+=+56+\"$
\n" ); document.write( "(2) $\"+8b+=+56+\"$
\n" ); document.write( "(2) $\"+b+=+7+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(1) $\"+a+=+3%2A7+\"$
\n" ); document.write( "(1) $\"+a+=+21+\"$
\n" ); document.write( "The dimensions are 7 x 21 \n" ); document.write( "

\n" );