document.write( "Question 103619: A rectangulaer field is 200m by 300m. A roadway of width x m is to be built just inside the feild. What is the widest the roadway can be and still leave 50,000m^2 in the region. \n" ); document.write( "
Algebra.Com's Answer #75330 by Fombitz(32388)\"\" \"About 
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The rectangular field is 200x300 or 60,000 sq.m. currently.
\n" ); document.write( "You want to leave 50,000 sq. m and the area of the road would take up the rest.
\n" ); document.write( "Area of old field = Area of new field + Area of the road
\n" ); document.write( "60,000 = 50,000 + Area of road
\n" ); document.write( "We know the width of the road, x, but which dimension is the length of the road?
\n" ); document.write( "Is it 200m or is it 300m.
\n" ); document.write( "We'll solve for both.
\n" ); document.write( "For the length of the road = 200m.
\n" ); document.write( "Area of road = 200*x
\n" ); document.write( "\"60000=50000%2B200%2Ax\"
\n" ); document.write( "\"10000=200x\"
\n" ); document.write( "\"x=50m\"
\n" ); document.write( "For the length of the road = 300m.
\n" ); document.write( "Area of road = 300*x
\n" ); document.write( "\"60000=50000%2B300%2Ax\"
\n" ); document.write( "\"10000=300x\"
\n" ); document.write( "\"x=33.3m\"\r
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