document.write( "Question 146916: Hi, I am trying to understand how you would write out this problem to work it: Thanks for your help, Reuben \n" ); document.write( "
Algebra.Com's Answer #107296 by nerdybill(7384)\"\" \"About 
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A rectangular parking lot is 100 feet longer than it is wide. Determine the dimensions of the parking lot if it measures 500 feet diagonally.
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\n" ); document.write( "Let w = width of lot
\n" ); document.write( "then w+100 = length of lot
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\n" ); document.write( "apply Pythagorean theorem:
\n" ); document.write( "w^2 + (w+100)^2 = 500^2
\n" ); document.write( "expanding:
\n" ); document.write( "w^2 + w^2 + 200w + 10000 = 250000
\n" ); document.write( "2w^2 + 200w + 10000 = 250000
\n" ); document.write( "2w^2 + 200w - 240000 = 0
\n" ); document.write( "w^2 + 100w - 120000 = 0
\n" ); document.write( "(w - 300)(w + 400) = 0
\n" ); document.write( "w = {300, -400}
\n" ); document.write( "Can't be negative so
\n" ); document.write( "w = 300 ft (width)
\n" ); document.write( "w+100 = 400 ft (length)
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