Hi there! The answer is 35 cm^2
The easiest way to find the area of this figure, is to split it up into two parts.
1. The square, which has an area of
[tex] length \: \times width[/tex]
[tex]5 \: cm \: \times 5 \: cm \: = 25 \: {cm}^{2} [/tex]
2. The triangle, which has an area of
[tex]0.5 \times base \: \times height[/tex]
[tex]0.5 \times 5 \: cm \: \times 4 \: cm \: = 10 \: {cm}^{2} [/tex]
Finally we add up these two answers and we find that the area of the figure is 10 cm^2 + 25 cm^2 = 35 cm^2.