document.write( "Question 994045: the length of a garden is 10 m more than twice the width. The are is 120m2. What are the dimensions of the garden to the nearest tenth metre? \n" ); document.write( "
Algebra.Com's Answer #613235 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! W=x \n" ); document.write( "L=2x+10 \n" ); document.write( "area is 120 m^2 \n" ); document.write( "Therefore, (2x+10)(x)=120 \n" ); document.write( "2x^2+10x=120 \n" ); document.write( "2x^2+10x-120=0 \n" ); document.write( "divide by 2 \n" ); document.write( "x^2+5x-60=0 \n" ); document.write( "x=(1/2) { -5 +/- sqrt (25+240)}, and use positive root only \n" ); document.write( "sqrt 265=16.279 \n" ); document.write( "x=(1/2)(-5+16.279)=(1/2)(11.279)=5.64 m \n" ); document.write( "2x+10=21.28 \n" ); document.write( "convert to nearest tenth of a meter \n" ); document.write( "5.6*21.3=119.28 \n" ); document.write( "rounded to two decimal places it is 120.02. \n" ); document.write( "The dimensions are 5.6 m x 21.3 m \n" ); document.write( " |