document.write( "Question 828061: Kate wants to build a fence around her yard. The width of the yard is one-third the length.\r
\n" ); document.write( "\n" ); document.write( "The perimeter of the yard is 80 feet. \n" ); document.write( "

Algebra.Com's Answer #498993 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If $\"+W+\"$ = width and $\"+L+\"$ = length,
\n" ); document.write( "the formula for perimeter is:
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "given:
\n" ); document.write( " $\"+P+=+80+\"$
\n" ); document.write( " $\"+W+=+%281%2F3%29%2AL+\"$
\n" ); document.write( "Substitute these into the formula
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( " $\"+80+=+2%2A%281%2F3%29%2AL+%2B+2L+\"$
\n" ); document.write( "Multiply both sides by $\"+3+\"$
\n" ); document.write( " $\"+240+=+2L+%2B+6L+\"$
\n" ); document.write( " $\"+8L+=+240+\"$
\n" ); document.write( " $\"+L+=+30+\"$
\n" ); document.write( "And, since
\n" ); document.write( " $\"+W+=+%281%2F3%29%2AL+\"$
\n" ); document.write( " $\"+W+=+%281%2F3%29%2A60+\"$
\n" ); document.write( " $\"+W+=+10+\"$
\n" ); document.write( "The width is 10 and the length is 30
\n" ); document.write( "check:
\n" ); document.write( " $\"+P+=+2W+%2B+2L+\"$
\n" ); document.write( " $\"+80+=+2%2A10+%2B+2%2A30+\"$
\n" ); document.write( " $\"+80+=+20+%2B+60+\"$
\n" ); document.write( " $\"+80+=+80+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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