Answer:
Step-by-step explanation:
The figure is attached.
Notice that the whole surface area is formed by 1 square, 2 different rectangles and 2 conguent triangles. Let's find the area of each figure.
[tex]A_{square} =(5cm)^{2} =25 \ cm^{2}[/tex]
[tex]A_{r1}=13cm \times 5 cm=65 \ cm^{2}[/tex]
[tex]A_{r2}= 12cm \times 5cm= 60 \ cm^{2}[/tex]
So, all rectangles have a total surface area of [tex]A_{rectangles}=65+60=125 \ cm^{2}[/tex]
[tex]A_{triangles}=2(\frac{1}{2} \times 12cm \times 5cm ) =60 \cm^{2}[/tex]
Because, there are two congruent triangle.
Now, we need to sum all areas:
[tex]S=25+125+60=210 \ cm^{2}[/tex]
Therefore, the total surface area is 210 square centimeters. So, the right answer is C.
