document.write( "Question 67792: A farmer normally plows a rectangular field 80ft by 120 ft. This year the farmer wants to expand the area of the field by 20%, by extending the width and length of the plowed area an equal amount. How much wider and longer should the farmer plow the field to obtain a 20% increase in area? \n" ); document.write( "
Algebra.Com's Answer #48215 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! CURRENT AREA=80*120=9600 \n" ); document.write( "TO INCREASE THIS AREA BY 20% IT MUST BE 9600*1.2=11520 \n" ); document.write( "THUS (80+X)(120+X)=11520 \n" ); document.write( "9600+120X+80X+X^2=11520 \n" ); document.write( "X^2+200X+9600-11520=0 \n" ); document.write( "X^2+200X-1920=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET \n" ); document.write( "X=(-B+-SQRT[B^2-4AC])/2A \n" ); document.write( "X=(-200+-SQRT[200*200-4*1*-1920])/2*1 \n" ); document.write( "X=(-200+-SQRT[40000+7680])/2 \n" ); document.write( "X=(-200+-SQRT47680])/2 \n" ); document.write( "X=(-200+-218.3578)/2 \n" ); document.write( "X=-200+218.3578)/2 \n" ); document.write( "X=18.3578/2 \n" ); document.write( "X=9.17875 ANSWER. \n" ); document.write( " |