document.write( "Question 261985: A rectangle has an area of 12 m2. Find a function that models its perimeter P in terms of the length of one of its sides x. \n" ); document.write( "

Algebra.Com's Answer #193060 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
The perimeter formula is
\n" ); document.write( "(i) $\"P+=+2L+%2B+2W\"$
\n" ); document.write( "since one side is x, we get
\n" ); document.write( "(ii) $\"P+=+2x+%2B+2W\"$
\n" ); document.write( "---
\n" ); document.write( "Now area = (1/2)LW = 12, but we have let L = x, so
\n" ); document.write( "(iii) $\"xW+=+24\"$
\n" ); document.write( "solving for W, we get
\n" ); document.write( "(iv) $\"W+=+24%2Fx\"$
\n" ); document.write( "By substitution of (iv) into (ii) , we get
\n" ); document.write( "(v) $\"P=2x+%2B+48%2Fx\"$ \n" ); document.write( "

\n" );