Answer:
The length of each side of the original square was
inches
Explanation:
Let
x------> the length side of the original square
we know that
The perimeter of a square is equal to
![P=4b](https://img.qammunity.org/2019/formulas/mathematics/middle-school/4o94xae1r8141iqlaxiyleexqxaus5id9b.png)
where
b is the length side of the square
In this problem
![b=(x+2.5)\ in](https://img.qammunity.org/2019/formulas/mathematics/middle-school/4dcmccylo1bbe252memryfm7uufbn1i08l.png)
![P=70\ in](https://img.qammunity.org/2019/formulas/mathematics/middle-school/84o3fygqvr2ilziddhc0tozqgwo7927j17.png)
substitute
![70=4(x+2.5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ykya9z00mdb2nkxtcl6z52xpjqt9r039pd.png)
solve for x
![70=4x+10](https://img.qammunity.org/2019/formulas/mathematics/middle-school/x5fflggk3jkzhnis85a2euf0wft0rc44ig.png)
![4x=70-10](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3kdc7qvvv42qb06l1yulwxc08gca0jhvtu.png)
![x=60/4=15\ in](https://img.qammunity.org/2019/formulas/mathematics/middle-school/j6t7vd0pnhyoyhhxrlwl7by45q3mfetjkc.png)