document.write( "Question 956286: The length of one rectangular field is 400m more that the side of a square fields. The width is 100 m more than the side of the square field. If the rectangular field has twice the area square field, what the dimensions of each field? \n" ); document.write( "
Algebra.Com's Answer #584238 by lwsshak3(11628)\"\" \"About 
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The length of one rectangular field is 400m more that the side of a square fields. The width is 100 m more than the side of the square field. If the rectangular field has twice the area square field, what the dimensions of each field?
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\n" ); document.write( "let x=side of the square field
\n" ); document.write( "x+400=length of rectangular field
\n" ); document.write( "x+100=width of rectangular field
\n" ); document.write( "(x+400)(x+100)=2x^2
\n" ); document.write( "x^2+500x+40000=2x^2
\n" ); document.write( "x^2-500x-40000=0
\n" ); document.write( "solve for x by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=-500, c=-40000
\n" ); document.write( "ans:
\n" ); document.write( "x≈570.156
\n" ); document.write( "x+400=970.156
\n" ); document.write( "x+100=670.156
\n" ); document.write( "side of the square field≈570 m
\n" ); document.write( "length of rectangular field≈970 m
\n" ); document.write( "width of rectangular field≈670 m
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