document.write( "Question 81400This question is from textbook College Algebra Graphs and Models
\n" ); document.write( ": I am having problems with writing a function for a word problem in college algebra. The word problem is as follows:
\n" ); document.write( "You want to enclose a rectagle for your dog. You have 84 feet of fencing. If the fence is x feet long, express the area as a function of the legnth.
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #58316 by SMM52091(3) $\"\"$ $\"About$

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This one isnt too hard when you think about it. Let x be length. Perimeter is 2x + 2(width), so put it in terms of length so length will not eventually interfere with the function.
\n" ); document.write( " $\"P+=+2x+%2B+2%28width%29\"$
\n" ); document.write( " $\"P+-+2x+=+2%28width%29\"$
\n" ); document.write( " $\"%28P+-+2x%29%2F%282%29+=+width\"$
\n" ); document.write( "So now we can start to make the function. Area equals length times width, and we have length and width in terms of length, so the function can be made.
\n" ); document.write( " $\"f%28x%29+=+%28length%29%28width%29\"$
\n" ); document.write( " $\"f%28x%29+=+x+%2A+%28P+-+2x%29%2F%282%29\"$
\n" ); document.write( " $\"f%28x%29+=+x+%2884+-+2x%29%2F%282%29\"$ You have 84 feet of fencing to use, so that will be the perimeter.
\n" ); document.write( " $\"f%28x%29+=+%2884x+-+2x%5E2%29%2F%282%29\"$
\n" ); document.write( " $\"f%28x%29+=+42x+-+x%5E2\"$
\n" ); document.write( "Whenever you have x amount of length, you can plug it into the function to get the area. Hope that helps \n" ); document.write( "

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