Posted by **Micah** on Tuesday, February 26, 2008 at 7:08pm.

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

- Algebra I need the formula not the answer -
**Reiny**, Tuesday, February 26, 2008 at 7:18pm
If you typed the question correctly, then the answer is obvious

(x+8)^2 = 169^2

then x+8 = 169

and x=161

- Algebra I need the formula not the answer -
**Ms. Sue**, Tuesday, February 26, 2008 at 7:19pm
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.

- Algebra I need the formula not the answer -
**Damon**, Tuesday, February 26, 2008 at 7:20pm
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

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