document.write( "Question 1077442: A college is planning to construct a rectangular parking lot on land bordered on one side by a highway. The plan is to use 400 feet of fencing to fence off the other three sides. What dimensions should the lot I have if the enclosed area is to be a maximum? \n" ); document.write( "
Algebra.Com's Answer #691917 by josgarithmetic(39618)\"\" \"About 
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x, distance from highway to side opposite of the highway
\n" ); document.write( "y, distance of the side parallel to but opposite of the highway\r
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\n" ); document.write( "\n" ); document.write( "Fence length to use, \"2x%2By=400\"\r
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\n" ); document.write( "\n" ); document.write( "Area to hold, \"xy\"\r
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\n" ); document.write( "\n" ); document.write( "Area, \"A%28x%29=x%28400-2x%29\"
\n" ); document.write( "Parabola shape and equation \"A%28x%29=x%28400-2x%29\", with vertex as the maximum point.\r
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\n" ); document.write( "\n" ); document.write( "\"x%28400-2x%29=0\" gives the roots
\n" ); document.write( "\"x%28200-x%29=0\"
\n" ); document.write( "\"system%28Roots%2Cx=0%2Cand%2Cx=200%29\"\r
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\n" ); document.write( "\n" ); document.write( "Maximum A will be at x=100, exactly in the middle of the roots.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2By=400\"
\n" ); document.write( "\"y=400-2x\"
\n" ); document.write( "\"y=400-2%2A100\"
\n" ); document.write( "\"y=400-200\"
\n" ); document.write( "\"y=200\"\r
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\n" ); document.write( "\n" ); document.write( "Dimensions for maximum area:
\n" ); document.write( "100 and 200
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\n" ); document.write( "Two sides 100 and one side 200.
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