For this case we have that by definition, the lateral area of a prism is given by:
![LA = 2ac + 2bc](https://img.qammunity.org/2020/formulas/mathematics/middle-school/usg5pfwh16g5auirsi9j8eikyhist0l354.png)
Where:
a: It is the height
b: It is the width
c: It's the long
According to the figure we have:
![a = 5 \ units\\b = 7 \ units\\c = 11 \ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ujtuukw20gfmb5s6hlvui9k2zqqq5fbb7i.png)
Substituting:
![LA = 2 * 5 * 11 + 2 * 7 * 11\\LA = 110 + 154\\LA = 264](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gzn0sxl8znanqw0la4ijc0zh4kaqmiuxov.png)
Finally, the lateral area of the prism is
![264 \ units ^ 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qcz7jkied5vt7gelykc0jx6hvws958qs4s.png)
ANswer:
Option B