document.write( "Question 113347: The length of a rectangle is 10cm less than 3 times its width. If the perimeter of the rectangle is at most 180 cm, find the greatest possible length of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #82482 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! LENGTH=3W-10 \n" ); document.write( "180=(3W-10)W \n" ); document.write( "180=3W^2-10W \n" ); document.write( "3W^2-10W-180=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET: \n" ); document.write( " \n" ); document.write( "W=(10+-SQRT[10^2-4*3*-180])/2*3 \n" ); document.write( "W=(10+-SQRT100+2160])/6 \n" ); document.write( "W=(10+-SQRT2260)/6 \n" ); document.write( "W=(10+-47.54)/6 \n" ); document.write( "W=(10+47.54)/6 \n" ); document.write( "W=57.54)/6 \n" ); document.write( "W=9.59 ANSWER. \n" ); document.write( "W=(10-47.54)/6 \n" ); document.write( "W=-37.54/6 \n" ); document.write( "W=-6.26 ANSWER. \n" ); document.write( " \n" ); document.write( " |