document.write( "Question 421259: the perimeter of a rectangle is 104.The length exceeds the width by 32 inches. Find the length and the width. \n" ); document.write( "

Algebra.Com's Answer #294191 by josmiceli(19441) $\"\"$ $\"About$

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The formula for perimeter is:
\n" ); document.write( " $\"+P+=+2w+%2B+2l+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"l+=+w+%2B+32+\"$
\n" ); document.write( " $\"+P+=+104+\"$
\n" ); document.write( "-----------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+104+=+2w+%2B+2i+\"$
\n" ); document.write( " $\"+104+=+2w+%2B+2%2A%28+w+%2B+32%29+\"$
\n" ); document.write( " $\"+104+=+2w+%2B+2w+%2B+64+\"$
\n" ); document.write( " $\"4w+=+40+\"$
\n" ); document.write( " $\"+w+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"l+=+w+%2B+32\"$
\n" ); document.write( " $\"l+=+10+%2B+32\"$
\n" ); document.write( " $\"l+=+42\"$
\n" ); document.write( "The width is 10 and the length is 42
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+P+=+2w+%2B+2l+\"$
\n" ); document.write( " $\"+104+=+2%2A10+%2B+2%2A42+\"$
\n" ); document.write( " $\"104+=+20+%2B+84+\"$
\n" ); document.write( " $\"104+=+104\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );