document.write( "Question 152234: A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. \n" ); document.write( "
Algebra.Com's Answer #111897 by nerdybill(7384)\"\" \"About 
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A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
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\n" ); document.write( "Let x = width
\n" ); document.write( "x+100 = length
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\n" ); document.write( "Applying Pythagorean theorem:
\n" ); document.write( "x^2 + (x+100)^2 = 500^2
\n" ); document.write( "x^2 + x^2 + 200x + 10000 = 250000
\n" ); document.write( "2x^2 + 200x - 240000 = 0
\n" ); document.write( "x^2 + 100x - 120000 = 0
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\n" ); document.write( "Factoring we get:
\n" ); document.write( "(x-300)(x+400) = 0
\n" ); document.write( "x = {-400, 300}
\n" ); document.write( "Only the positive answer makes sense so
\n" ); document.write( "x = 300 feet (width)
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\n" ); document.write( "x+100 = 400 feet (length)
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\n" ); document.write( "Conclusion:
\n" ); document.write( "parking lot is 300 feet by 400 feet \n" ); document.write( "
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