document.write( "Question 408244: if the sides of a square root are lenghtened by 6cm. The area becomes 196cm^2. Find the lenght of a side of the original square. what is the length of side square. \n" ); document.write( "
Algebra.Com's Answer #287859 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I think you mean:
\n" ); document.write( "if the sides of a square are lengthened by 6 cm. The area becomes 196cm^2.
\n" ); document.write( "Find the length of a side of the original square.
\n" ); document.write( " what is the length of side square.
\n" ); document.write( ":
\n" ); document.write( "Let s = the side of the original square
\n" ); document.write( ":
\n" ); document.write( "Let (s+6) = side of the larger square
\n" ); document.write( ":
\n" ); document.write( "Area of the new square
\n" ); document.write( "(s+6)*(s+6) = 196
\n" ); document.write( "FOIL
\n" ); document.write( "s^2 + 12s + 36 = 196
\n" ); document.write( "s^2 + 12s + 36 - 196 = 0
\n" ); document.write( "A quadratic equation
\n" ); document.write( "s^2 + 12x - 160 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(s - 8)(s + 20) = 0
\n" ); document.write( "the positive solution is what we want here:
\n" ); document.write( "s = 8 cm, side of the original square
\n" ); document.write( ":
\n" ); document.write( "Then: 8 + 6 = 14 cm is the side of the larger square
\n" ); document.write( "Check this by finding the area: 14 * 14 = 196 \n" ); document.write( "
\n" );