document.write( "Question 579849: If each side of a square is increased by 3 cm, the total area of both the new square and the original square will be 617 cm2 . Approximate to the nearest tenth of a centimeter the length of each side of the original square. \n" ); document.write( "
Algebra.Com's Answer #371077 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let side of square be x \n" ); document.write( "area = l*w= x^2\r \n" ); document.write( "\n" ); document.write( "3 is added to its side\r \n" ); document.write( "\n" ); document.write( "Area of this square = (x+3)^2\r \n" ); document.write( "\n" ); document.write( "x^2+(x+3)^2= 617 \n" ); document.write( "x^2+x^2+6x+9=617 \n" ); document.write( "2x^2+6x-617+9=0 \n" ); document.write( "2x^2+6x-608=0 \n" ); document.write( "/2 \n" ); document.write( "x^2+3x-304 =0\r \n" ); document.write( "\n" ); document.write( "x^2+19x-16x-304=0\r \n" ); document.write( "\n" ); document.write( "x(x+19)-16(x+19)=0 \n" ); document.write( "(x+19)(x-16)=0\r \n" ); document.write( "\n" ); document.write( "x=-19 OR 16\r \n" ); document.write( "\n" ); document.write( "ignore negative\r \n" ); document.write( "\n" ); document.write( "the length of side = 16cm \n" ); document.write( " |