document.write( "Question 78294: 17) The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 99 cm^2, find the dimensions of the rectangle to the nearest thousandth. \n" ); document.write( "
Algebra.Com's Answer #56222 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! L=3+2W \n" ); document.write( "(3+2W)W=99 \n" ); document.write( "3W+2W^2-99=0 \n" ); document.write( "2W^2+3W-99=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET: \n" ); document.write( "W=(-3+-SQRT[3^2-4*2*-99])/2*2 \n" ); document.write( "W=(-3+-SQRT[9+792])/4 \n" ); document.write( "W=(-3+-SQRT801)/4 \n" ); document.write( "W=(-3+-28.3)/4 \n" ); document.write( "W=(-3+28.3)/4 \n" ); document.write( "W=25.3/4 \n" ); document.write( "W=6.325 ANSWER. \n" ); document.write( "L=3+2*6.325 \n" ); document.write( "L=3+12.65 \n" ); document.write( "L=15.65 ANSWER. \n" ); document.write( "PROOF \n" ); document.write( "6.325*15.65=99 \n" ); document.write( "99=99 \n" ); document.write( " \n" ); document.write( " |