document.write( "Question 166597: if the perimeter of a rectangle is expressed by the formula p=2l+2w the side w can be found by the formula ? \n" ); document.write( "

Algebra.Com's Answer #122779 by gonzo(654) $\"\"$ $\"About$

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\n" ); document.write( "if you know the other 2 parameters.
\n" ); document.write( "-----
\n" ); document.write( "example:
\n" ); document.write( "p = 100
\n" ); document.write( "l = 5
\n" ); document.write( "w = ?????
\n" ); document.write( "-----
\n" ); document.write( "formula for perimeter is p = 2*l + 2*w
\n" ); document.write( "substitute 100 for p and 5 for l and you get:
\n" ); document.write( "100 = 2*5 + 2*w
\n" ); document.write( "this becomes
\n" ); document.write( "100 = 10 + 2*w
\n" ); document.write( "this becomes
\n" ); document.write( "90 = 2*w
\n" ); document.write( "this becomes
\n" ); document.write( "45 = w
\n" ); document.write( "-----
\n" ); document.write( "manipulation of the formula for p itself without using any values for any of the variables will show you how.
\n" ); document.write( "-----
\n" ); document.write( "the formula for perimeter is $\"p+=+2%2Aw+%2B+2%2Al\"$
\n" ); document.write( "subtract 2*l from both sides:
\n" ); document.write( " $\"p+-+2%2Al+=+2%2Aw\"$
\n" ); document.write( "divide both sides by 2:
\n" ); document.write( " $\"%28p+-+2%2Al%29+%2F+2+=+w\"$
\n" ); document.write( "-----
\n" ); document.write( "the formula for w as a function of the perimeter and the length is:
\n" ); document.write( " $\"w+=+%28%28p-%282%2Al%29%29%2F2%29\"$
\n" ); document.write( "it was derived from the formula for perimeter.
\n" ); document.write( "----- \n" ); document.write( "

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