document.write( "Question 48774: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally. \n" ); document.write( "
Algebra.Com's Answer #32299 by venugopalramana(3286)\"\" \"About 
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A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally
\n" ); document.write( "LET LENGTH =L
\n" ); document.write( "WIDTH=W
\n" ); document.write( "L=W+50
\n" ); document.write( "DIAGONAL^2=L^2+W^2
\n" ); document.write( "250^2=(W+50)^2+W^2=W^2+100W+50^2+W^2=2W^2+100W+2500
\n" ); document.write( "2W^2+100W+2500-62500=0
\n" ); document.write( "W^2+50W-30000=0
\n" ); document.write( "W^2+200W-150W-30000=0
\n" ); document.write( "W(W+200)-150(W+200)=0
\n" ); document.write( "(W-150)(W+200)=0
\n" ); document.write( "W=150
\n" ); document.write( "L=200
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