document.write( "Question 487863: I'm having trouble with this word problem, please help :)\r
\n" );
document.write( "\n" );
document.write( "The length of a certain lot is 20 feet less than four times its width. The area is 4200 sq. ft. What are the dimensions of the lot? \n" );
document.write( "
Algebra.Com's Answer #333164 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of a certain lot is 20 feet less than four times its width. The area is 4200 sq. ft. What are the dimensions of the lot? \n" ); document.write( "--- \n" ); document.write( "Let the width be W. \n" ); document.write( "Then the length is 4W-20 \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "Area = length*width \n" ); document.write( "---- \n" ); document.write( "W(4W-20) = 4200 \n" ); document.write( "4W^2 - 20W - 4200 = 0 \n" ); document.write( "--- \n" ); document.write( "W^2 - 5W - 1050 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "W = [5 +- sqrt(25 - 4*-1050)]/2 \n" ); document.write( "--- \n" ); document.write( "W = [5 +- sqrt(4225)]/2 \n" ); document.write( "W = [5 +- 65]/2 \n" ); document.write( "-------- \n" ); document.write( "Positive solution: \n" ); document.write( "W = 35 (width) \n" ); document.write( "Length = 4*35-20 = 120 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |