document.write( "Question 1132906: The perimeter of a rectangle is 864 feet. The ratio of the length to the width is 1:6. Find the length and the width. \n" ); document.write( "

Algebra.Com's Answer #750072 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+L+\"$ = the length in ft
\n" ); document.write( "Let $\"+W+\"$ = the width in ft
\n" ); document.write( "-----------------------------------
\n" ); document.write( " $\"+2L+%2B+2W+=+864+\"$
\n" ); document.write( " $\"+L+%2B+W+=+432+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+L%2FW+=+1%2F6+\"$
\n" ); document.write( "Multiply both sides by $\"+6W+\"$
\n" ); document.write( " $\"+6L+=+W+\"$
\n" ); document.write( "Now I can say:
\n" ); document.write( " $\"+L+%2B+6L+=+432+\"$
\n" ); document.write( " $\"+7L+=+432+\"$
\n" ); document.write( " $\"+L+=+61.714+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+W+=+6L+\"$
\n" ); document.write( " $\"+W+=+6%2A61.714+\"$
\n" ); document.write( " $\"+W+=+370.286+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "The length is 61.714 ft
\n" ); document.write( "The width is 370.286 ft
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+L%2FW+=+1%2F6+\"$
\n" ); document.write( " $\"+61.714%2F370.286+=+1%2F6+\"$
\n" ); document.write( " $\"+1%2F6.0000324+=+1%2F6+\"$
\n" ); document.write( "error due to rounding off -OK \n" ); document.write( "

\n" );