document.write( "Question 710109: The length of each side of a square is 3in more than the length of each side of a smaller square. The sum of the areas of the squares is 149in^2. find the lengths of the sides of the two squares.. \n" ); document.write( "
Algebra.Com's Answer #436881 by sachi(548)![]() ![]() You can put this solution on YOUR website! The length of each side of a square is 3in more than the length of each side of a smaller square. \n" ); document.write( "let the length of smaller square=x \n" ); document.write( "the length of big square=x+3\r \n" ); document.write( "\n" ); document.write( "The sum of the areas of the squares is 149in^2. \n" ); document.write( "so x^2+(x+3)^2=149 \n" ); document.write( "or x^2+x^2+6x+9=149 \n" ); document.write( "or 2x^2+6x=149-9=140 \n" ); document.write( "or x^2+3x-70=0 \n" ); document.write( "or x^2+10x-7x-70=0 \n" ); document.write( "or x(x+10)-7(x+10)=0 \n" ); document.write( "or (x+10)(x-7)=0 \n" ); document.write( "or x=-10 or 7 \n" ); document.write( "taking + ve value \n" ); document.write( "the sides of the smaller square=7 \n" ); document.write( "then the sides of the big square =7+3=10 \n" ); document.write( " |