Notice that the square can be divided into four triangles of height 4cm and base 4cm:
The area of one of the triangles is:
[tex]\begin{gathered} \frac{1}{2}b\cdot h=\frac{1}{2}(4\operatorname{cm})(4\operatorname{cm}) \\ =8cm^2 \end{gathered}[/tex]
The area of the square is four times the area of one of the triangles:
[tex]\begin{gathered} A=4\cdot8cm^2 \\ =32cm^2 \end{gathered}[/tex]
Therefore, the area of the square is 32 squared centimeters.
