document.write( "Question 1001543: The question is \"Ivan has 80 feet of fence to enclose a rectangular garden. What demensions for the garden give the maximum area?\" And I don't know how to solve it so help would be great! \n" ); document.write( "
Algebra.Com's Answer #618671 by ikleyn(52810)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Let x = the length of the rectangle and y = its width.\r
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\n" ); document.write( "\n" ); document.write( "Then  x + y = 40  (do you understand why?),  and you are asked to find  x  and  y  in such a way to maximize the product  x*y  which is the area.\r
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\n" ); document.write( "\n" ); document.write( "Express  y  via  x:  y = 40 - x,  and substitute it into the product:\r
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\n" ); document.write( "\n" ); document.write( "x*y = x*(40-x)\r
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\n" ); document.write( "\n" ); document.write( "and find the maximum of the quadratic function  f(x) = x*(40-x).\r
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\n" ); document.write( "\n" ); document.write( "Can you do it yourself?\r
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\n" ); document.write( "\n" ); document.write( "If not, please let me know,  I will help you.\r
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\n" ); document.write( "\n" ); document.write( "Place your answer into the  \"Comments from student\"  section.  Do not forget to put the number of the problem  (# 1001543)  in order for I could identify it.\r
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\n" ); document.write( "\n" ); document.write( "Good luck!\r
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