document.write( "Question 1066940: A rectangular field is 150 feet by 250 feet. You begin clearing the outside of the field, how wide of a border around the field must you mow to complete 1/2 the job?\r
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document.write( "Teacher says we can you use calculator to check answer for this can you please explain how and how to solve problem. Thanks. \n" );
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Algebra.Com's Answer #682165 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular field is 150 feet by 250 feet. \n" ); document.write( " You begin clearing the outside of the field, \n" ); document.write( " how wide of a border around the field must you mow to complete 1/2 the job? \n" ); document.write( ": \n" ); document.write( "Find the total area of the field: \n" ); document.write( "150 * 250 = 37,500 sq/ft \n" ); document.write( "then the mowed area and the remaining area are: \n" ); document.write( "37500/2 = 18,750 sq/ft \n" ); document.write( ": \n" ); document.write( "Let x = the width of the border clears around the field \n" ); document.write( "(150-2x)*(250-2x) = 18750 \n" ); document.write( "FOIL \n" ); document.write( "37500 - 300x - 500x + 4x^2 = 18750 \n" ); document.write( "Arrange as a quadratic equation \n" ); document.write( "4x^2 - 800x + 37500 - 18750 = 0 \n" ); document.write( "4x^2 - 800x + 18750 = 0 \n" ); document.write( "Use the quadratic equation to find x. a=4; b=-800; c=18750 \n" ); document.write( "My two solutions \n" ); document.write( "x = 27.113 \n" ); document.write( "x = 172.887 \n" ); document.write( "Only reasonable solution is x = 27.113 ft is the width of border \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this on your calc, find the area of the remaining field which is half so equal to area of the mowed part: \n" ); document.write( " (150-2(27.113))*(250-2(27.113)) = \n" ); document.write( " |