document.write( "Question 371209: a triangular garden has an area or 45 square meters. its base is 3 meters longer than twice its height. how long is the base? \n" ); document.write( "
Algebra.Com's Answer #264465 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let height of triangle be x \n" ); document.write( "base = 2x+3 \n" ); document.write( ".. \n" ); document.write( "Area of triangle = 1/2 * base * height \n" ); document.write( "1/2 * x*(2x+3) = 45 \n" ); document.write( ".. \n" ); document.write( "*2 *2 \n" ); document.write( "x(2x+3) = 90 \n" ); document.write( "2x^2+3x=90 \n" ); document.write( "2x^2+3x-90=0 \n" ); document.write( "2x^2+15x-12x-90=0 \n" ); document.write( "x(2x+15)-6(2x+15)=0 \n" ); document.write( "(2x+15)(x-6)=0 \n" ); document.write( "x = 6 m the height \n" ); document.write( "base = 2x+3 = 2*6 +3 = 15m \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |