document.write( "Question 300981: A rectangular platform is 11 feet longer than it is wide. If the area of the platform is 276 square feet, find the length and the width. \n" ); document.write( "

Algebra.Com's Answer #215853 by vleith(2983) $\"\"$ $\"About$

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Let Width be represented by w.
\n" ); document.write( "Let Length be represented by l
\n" ); document.write( "Given $\"l+=+w+%2B+11\"$
\n" ); document.write( " $\"Area+=+Length+%2A+Width\"$ = $\"276\"$
\n" ); document.write( " $\"276+=+l+%2A+w\"$
\n" ); document.write( " $\"276+=+%28w%2B11%29%2Aw\"$
\n" ); document.write( " $\"276+=+w%5E2+%2B+11w\"$
\n" ); document.write( " $\"0+=+w%5E2+%2B+11w+-+276\"$
\n" ); document.write( " $\"0+=+%28w-12%29%28w%2B23%29\"$
\n" ); document.write( "so either w = 12 or w = -23
\n" ); document.write( "Since w cannot be -23, then w = 12
\n" ); document.write( "l = w+11 = 23 \n" ); document.write( "

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