document.write( "Question 135391: The perimeter of a rectangular field is 140 yards. The land sells for $10/yd^2 and the total cost o the land is $12,000. What are the dimensions of the field? \n" ); document.write( "
Algebra.Com's Answer #99194 by stanbon(75887) ![]() You can put this solution on YOUR website! The perimeter of a rectangular field is 140 yards. The land sells for $10/yd^2 and the total cost of the land is $12,000. What are the dimensions of the field? \n" ); document.write( "--------------------------------- \n" ); document.write( "$12000/$10 = 1200 yd^2 \n" ); document.write( "------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "L*W = 1200 \n" ); document.write( "L+W = 70 \n" ); document.write( "------------ \n" ); document.write( "L = 1200/W \n" ); document.write( "(1200/W) + W = 70 \n" ); document.write( "1200 + W^2 = 70W \n" ); document.write( "W^2-70W+1200 = 0 \n" ); document.write( "W = [70 +- sqrt(70^2-4*1200)]/2 \n" ); document.write( "W = [70 +- srt(100)]/2 \n" ); document.write( "W = [70 +- 10]/2 \n" ); document.write( "W = 40 then L=30 \n" ); document.write( "OR \n" ); document.write( "W = 30 then L = 40 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |