document.write( "Question 325506: If the sides of a square are lengthened by 3 km, the area becomes 81 square kilometers.Find the length of the original square \n" ); document.write( "
Algebra.Com's Answer #233078 by info@email-tutors.com(9)![]() ![]() You can put this solution on YOUR website! The length of the original square was 6 km. Here is why: \r \n" ); document.write( "\n" ); document.write( "6+3 = 9\r \n" ); document.write( "\n" ); document.write( "9 squared = 81\r \n" ); document.write( "\n" ); document.write( "You can also solve it algebraically. The area of the square is 81. Let \"x\" be the original length. If \"x+3\" is the new length, then \"x+3\" squared would be equal to 81. \"x+3\" squared is x^2 + 6x + 9 = 81\r \n" ); document.write( "\n" ); document.write( "subtract nine from both sides to get: 72 = x^2 + 6x\r \n" ); document.write( "\n" ); document.write( "use the quadratic formula, and you will get \"6\" as your solution. \n" ); document.write( " |