The correct option is (C) 70 cm².
Step-by-step explanation: We are given to find the area of the figure shown in the picture.
We note that the figure is composed of rectangle and a triangle.
The length and width of the rectangle are
l = 10 cm and w = 5 cm.
So, the area of the rectangle is
![A_r=l\times w=10\times5=50~\textup{cm}^2.](/tpl/images/0213/6522/f1448.png)
The base (b) of the triangle is 5 cm and the height (h) is
h = 18 - 10 = 8 cm.
So, the area of the triangle is
![A_t=\dfrac{1}{2}bh=\dfrac{1}{2}\times5\times8=20~\textup{cm}^2.](/tpl/images/0213/6522/21dd0.png)
Therefore, the area of the figure is given by
![A=A_r+A_t=50+20=70~\textup{cm}^2.](/tpl/images/0213/6522/6ab58.png)
Thus, the required area of the given figure is 70 cm².
Option (C) is CORRECT.