Answer:
[tex]900\ cm^2[/tex]
Step-by-step explanation:
We can notice that the the prism provided is a rectangular prism.
By definition, The lateral area of a rectangular prism can be calculated by multiplying the perimeter of its base by its height.
The height is:
[tex]height=15\ cm[/tex]
Then, the perimeter of the base is:
[tex]Perimeter=17\ cm+17\ cm+13\ cm+13\ cm=60\ cm[/tex]
Then the lateral area is:
[tex]LA=60\ cm*15\ cm\\\\LA=900\ cm^2[/tex]
