document.write( "Question 59264: O.K., I took a stab at this one and got to a dead end - any help getting through it would be greatly appreciated!\r
\n" ); document.write( "\n" ); document.write( "A rectangular parking lot is 50ft. longer than it is wide. Determine the dimentions of the parking lot if it measures 250ft. diagonally.\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #40626 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The therorem of Pythagoras says \"d%5E2+=+w%5E2+%2B+h%5E2\"
\n" ); document.write( "let x = h
\n" ); document.write( "x+50 = w
\n" ); document.write( "d = 250
\n" ); document.write( "\"%28x%2B50%29%5E2+%2B+x%5E2+=+250%5E2\"
\n" ); document.write( "\"2x%5E2+%2B+100x+%2B+2500+=+62500\"
\n" ); document.write( "\"2x%5E2+%2B+100x+-+60000+=+0\"
\n" ); document.write( "\"x%5E2+%2B+50x+-+30000+=+0\"
\n" ); document.write( "complete the square
\n" ); document.write( "\"x%5E2+%2B+50x+%2B+25%5E2+=+30000+%2B+25%5E2\"
\n" ); document.write( "\"%28x+%2B+25%29%5E2+=+30625\"
\n" ); document.write( "\"x+%2B+25+=+sqrt%2830625%29\"
\n" ); document.write( "\"x+%2B+25+=+175\"
\n" ); document.write( "\"x+=+150\"
\n" ); document.write( "\"x+%2B+50+=+200\"
\n" ); document.write( "so, h = 150 ft and w = 200 ft
\n" ); document.write( "check to see if the diagonal is 250 ft
\n" ); document.write( "\"%28x%2B50%29%5E2+%2B+x%5E2+=+250%5E2\"
\n" ); document.write( "\"200%5E2+%2B+150%5E2+=+250%5E2\"
\n" ); document.write( "\"40000+%2B+22500+=+62500\"
\n" ); document.write( "\"62500+=+62500\"
\n" ); document.write( "another check is, divide each dimension by 50
\n" ); document.write( "\"200%2F50+=+4\"
\n" ); document.write( "\"150%2F50+=+3\"
\n" ); document.write( "\"250%2F50+=+5\"
\n" ); document.write( "It's a 3-4-5 right triangle!
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