Hi Eloise,
Have you ever thought about why $${{\mathtt{7}}}^{{\mathtt{4}}}$$ is just 7 to the power of 4 BUT
$${{\mathtt{7}}}^{{\mathtt{2}}}$$ is not usually called 7 to the power of 2? $${{\mathtt{7}}}^{{\mathtt{2}}}$$ is usually referred to as 7 squared.
$${{\mathtt{cm}}}^{{\mathtt{2}}}$$ literally means a square that is 1cm by 1cm big.
The area of a flat shap is the number of SQUARES that you can fit inside the shape.
So if a square has an area of 25 $${{\mathtt{cm}}}^{{\mathtt{2}}}$$ Then it must look like this.
You can count the little squares. Each one is 1cm by 1cm in size so each one is 1cm^2
There are 25 of them.
the area of a square is Length x Length
$$\\L * L = L^2\\\\
L^2=25\\\\
\sqrt{L^2}=\sqrt{25}\\\\
L=5 cm$$
