SOLUTION: If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square. Can anyone please help me with this? THank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square. Can anyone please help me with this? THank you!      Log On


   



Question 315722: If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square.
Can anyone please help me with this? THank you!

Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length of the side of the original square = x
It is increased by 8 cm
So, the length of the side of the new square = x+8
The area of the new square is (x+8)^2=169
Taking square root,
x+8= Sqrt(169)
x+8=13
x = 13-5
x=5 cm