document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90316>Question 90316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me- I cannot get this I have tried to get you help a few times on this. I am getting nowhere.  please please help.  Thank you \r<BR>\n" );
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document.write( "  Suppose you wanted to construct a fence around a garden plot in the form of a rectangle. On the neighbor’s side it’s going to need heavy-duty fencing that costs $2.00 per foot. The other three sides can be made of standard fencing material that costs $1.20 foot. You have $200 to spend. <BR>\n" );
document.write( "1. How many different rectangles would it be possible to enclose for $200?  \r<BR>\n" );
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document.write( "2. Write an equation using two variables for the total cost of the fence. Use x and y to represent the width and length of the rectangle. Solve the equation for one of the variables (either x or y).  \r<BR>\n" );
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document.write( "3. Given that Area = (x)(y), now write the area function for this problem using ONLY ONE VARIABLE (by making a substitution using the equation from #2).  <BR>\n" );
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document.write( "4. What dimensions will give the maximum area inside the fence?  \r<BR>\n" );
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document.write( "5. What will be the maximum area?  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65599 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you wanted to construct a fence around a garden plot in the form of a rectangle. On the neighbor’s side it’s going to need heavy-duty fencing that costs $2.00 per foot. The other three sides can be made of standard fencing material that costs $1.20 foot. You have $200 to spend. <BR>\n" );
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document.write( "Draw the rectangle; let the fence on the neighbors side have length x.<BR>\n" );
document.write( "The side opposite it is also of length x.<BR>\n" );
document.write( "Let the other two sides have length y.<BR>\n" );
document.write( "1. How many different rectangles would it be possible to enclose for $200? <BR>\n" );
document.write( "Plenty<BR>\n" );
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document.write( "2. Write an equation using two variables for the total cost of the fence. Use x and y to represent the width and length of the rectangle. Solve the equation for one of the variables (either x or y).<BR>\n" );
document.write( "Cost Equation: 2x + 1.2x + 1.2y + 1.2y = 200<BR>\n" );
document.write( "3.2x + 2.4y = 200<BR>\n" );
document.write( "y = (-3.2/2.4)x + (200/2.4)<BR>\n" );
document.write( "y = (-4/3)x + (250/3) <BR>\n" );
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document.write( "3. Given that Area = (x)(y), now write the area function for this problem using ONLY ONE VARIABLE (by making a substitution using the equation from #2). <BR>\n" );
document.write( "Area = x[(-4/3)x + (250/3)] = -(4/3)x^2+(250/3)x<BR>\n" );
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document.write( "4. What dimensions will give the maximum area inside the fence? <BR>\n" );
document.write( "Maximum area occurs at x=-b/2a = -(250/3)/[2(-4/3)] = 31.25 ft (width)<BR>\n" );
document.write( "Then y = (-4/3)*(125/4)+(250/3) = -125/3 + 250/3 = 125/3 = 41.66 ft (length)<BR>\n" );
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document.write( "5. What will be the maximum area? <BR>\n" );
document.write( "Area = x*y = 31.25*41.66 = 1301.85 sq ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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