document.write( "Question 117653: The length of a rectangular playing field is 5ft less than twice its width.If the perimeter of the playing field is 230ft find the length and width of the field. \n" ); document.write( "

Algebra.Com's Answer #85650 by josmiceli(19441) $\"\"$ $\"About$

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The formula for the perimeter of a rectangle is
\n" ); document.write( " $\"P+=+2w+%2B+2l\"$ where $\"l\"$ = length
\n" ); document.write( "and $\"w\"$ = width
\n" ); document.write( " $\"230+=+2w+%2B+2l\"$
\n" ); document.write( "also given is
\n" ); document.write( " $\"l+=+2w+-+5\"$
\n" ); document.write( " $\"2w+=+l+%2B+5\"$
\n" ); document.write( "substitue $\"2w\"$ into 1st equation
\n" ); document.write( " $\"230+=+l+%2B+5+%2B+2l\"$
\n" ); document.write( " $\"3l+=+225\"$
\n" ); document.write( " $\"l+=+75\"$ ft answer
\n" ); document.write( " $\"l+=+2w+-+5\"$
\n" ); document.write( " $\"75+=+2w+-+5\"$
\n" ); document.write( " $\"2w+=+80\"$
\n" ); document.write( " $\"w+=+40\"$ ft answer
\n" ); document.write( "The length is 75 ft and the width is 40 ft
\n" ); document.write( "check answer
\n" ); document.write( " $\"P+=+2w+%2B+2l\"$
\n" ); document.write( " $\"P+=+2%2A40+%2B+2%2A75\"$
\n" ); document.write( " $\"P+=+80+%2B+150\"$
\n" ); document.write( " $\"P+=+230\"$
\n" ); document.write( "OK
\n" ); document.write( " $\"l+=+2w+-+5\"$
\n" ); document.write( " $\"75+=+2%2A40+-+5\"$
\n" ); document.write( " $\"75+=+80+-+5\"$
\n" ); document.write( " $\"75+=+75\"$
\n" ); document.write( "OK \n" ); document.write( "

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