Algebra I need the formula not the answer
posted by Micah .
If the sides of a square are lengthened by 8cm the area becomes 169^2. Find the length of a side of the original square.
I am getting 34.25cm

If you typed the question correctly, then the answer is obvious
(x+8)^2 = 169^2
then x+8 = 169
and x=161 
The square root of 169 is 13, which is the lengthened measure of each side. Subtract 8 from 13 to find the original length of each side.

You must have a typo. I think you mean the area is 169 cm^2
(S+8)^2 = 169
for which I get 5 cm
However if it really is as you wrote it
then
(S+8)2 = 28561
S + 8 = 169
S = 161 
TYPO 169cm^2 My apologies.