document.write( "Question 266668: You have 700 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a function of one of its dimensions, x. \n" ); document.write( "

Algebra.Com's Answer #195913 by drk(1908) $\"\"$ $\"About$

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The perimeter is expressed as
\n" ); document.write( "(i) $\"P+=+2x+%2B+2y\"$
\n" ); document.write( "or
\n" ); document.write( "(ii) $\"700+=+2x+%2B+2y\"$
\n" ); document.write( "dividing by 2 we get
\n" ); document.write( "(iii) $\"350+=+x+%2B+y\"$
\n" ); document.write( "solve for y as
\n" ); document.write( "(iv) $\"y+=+350+-+x\"$
\n" ); document.write( "---
\n" ); document.write( "area formula is
\n" ); document.write( "(v) $\"A+=+xy\"$
\n" ); document.write( "substituting (iv) into (v) we get
\n" ); document.write( "(vi) $\"A+=+x%28350-x%29\"$ \n" ); document.write( "

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