document.write( "Question 905445: The ratio between the perimeter and the width of a rectangle is 14 : 3. If the area of the rectangle is 108 sq. cm, what is the length of the rectangle?
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Algebra.Com's Answer #549216 by Math_Boss(45) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"p=2%28l%2Bw%29\"$
\n" ); document.write( " $\"A=l%2Aw\"$
\n" ); document.write( " $\"108=lw\"$
\n" ); document.write( " $\"w=108%2Fl\"$
\n" ); document.write( " $\"p%2Fw=14%2F3\"$
\n" ); document.write( "Substitute p=2(l+w)
\n" ); document.write( " $\"2%28l%2Bw%29%2Fw=14%2F3\"$
\n" ); document.write( " $\"3%2A2%28l%2Bw%29=14w\"$
\n" ); document.write( " $\"6%28l%2Bw%29=14w\"$
\n" ); document.write( " $\"6l%2B6w=14w\"$
\n" ); document.write( " $\"6l=14w-6w\"$
\n" ); document.write( " $\"6l=8w\"$
\n" ); document.write( "Substitute w=(108/l)
\n" ); document.write( " $\"6l=8%28108%2Fl%29\"$
\n" ); document.write( " $\"6l=864%2Fl\"$
\n" ); document.write( "Multiply by l
\n" ); document.write( " $\"6l%5E2=864\"$
\n" ); document.write( "Divide by 6
\n" ); document.write( " $\"l%5E2=144\"$
\n" ); document.write( " $\"l=12\"$
\n" ); document.write( " $\"l=-12\"$ (reject)
\n" ); document.write( "Ans:l=12 cm \n" ); document.write( "

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