document.write( "Question 118352: The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 68 cm^2, find the dimensions of the rectangle to the nearest thousandth. \n" ); document.write( "
Algebra.Com's Answer #86470 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 68 cm^2, find the dimensions of the rectangle to the nearest thousandth. \n" ); document.write( "---------------- \n" ); document.write( "Let width be \"x\" cm ; Then length is \"5x+2\" cm. \n" ); document.write( "-------- \n" ); document.write( "EQUATION: \n" ); document.write( "x(5x+2) = 68 \n" ); document.write( "5x^2+2x-68=0 \n" ); document.write( "x = [-2 +- sqrt(4-4*5*-68)]/10 \n" ); document.write( "x = [-2 +- sqrt(4+1360)]/10 \n" ); document.write( "x = [-2 +- sqrt(1364)]/10 \n" ); document.write( "x = [-2 +- 36.9324]/10 \n" ); document.write( "Positive answer: \n" ); document.write( "x = 3.4932 cm (width) \n" ); document.write( "5x+2 = 19.4662 cm (length) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |