5 units
Explanation
Step 1
find the length of the side
the area of a square is given by :
[tex]\text{Area}=\text{ }side^2[/tex]
then Let
Area= 100 square units
replace and solve for side
[tex]\begin{gathered} 100(un^2)=\text{ }side^2 \\ \text{square root in both sides} \\ \sqrt{100(un^2)}=\text{ }\sqrt{side^2} \\ \text{side}=10\text{(un)} \end{gathered}[/tex]
Step 2
now, the square is divided
now, to check the measure of the side length of each of the small squares we need divide the original side by 2
so
[tex]\begin{gathered} \text{Side}_{small}=\frac{side}{2} \\ \text{replacing} \\ \text{Side}_{small}=\frac{10}{2} \\ \text{Side}_{small}=5 \end{gathered}[/tex]
therefore, the answer is
5 units
I hope this helps you
