document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204973>Question 1204973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot. </SPAN>\n" );
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document.write( "Here is an easy way to find the answer.<br><BR>\n" );
document.write( "The perimeter is 520 feet, and the area has to be at least 12000 square feet.<br><BR>\n" );
document.write( "The maximum area with a given perimeter is if the rectangle is a square; the side length of the square would be 130 feet.  So<br><BR>\n" );
document.write( "Let 130+x be the length of the parking lot<BR>\n" );
document.write( "then 130-x is the width of the parking lot<br><BR>\n" );
document.write( "The area is greater than or equal to 12000:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28130%2Bx%29%28130-x%29%3E=12000 ALIGN=MIDDLE  ALT=\"%28130%2Bx%29%28130-x%29%3E=12000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16900-x%5E2%3E=12000 ALIGN=MIDDLE  ALT=\"16900-x%5E2%3E=12000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%3C=4900 ALIGN=MIDDLE  ALT=\"x%5E2%3C=4900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=70 ALIGN=MIDDLE  ALT=\"x%3C=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To have an area of 12000 square feet or more, the length can be 130+x, where the maximum value of x is 70 (and, or course, the minimum value is 0).  That means the length can be anywhere from 130 feet to 130+70 = 200 feet.<br><BR>\n" );
document.write( "ANSWER: The possible lengths are from 130 to 200 feet<br><BR>\n" );
document.write( " </SPAN>\n" );
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