Respuesta :

Answer:

540 cm₂

Step-by-step explanation:

Area of right triangular prism:

       [tex]\sf \boxed{Area = (b_1+b_2+b_3)*l + bh}\\\\[/tex]

[tex]\sf \text{where $b_1$, $b_2$ and $b_3$ are the sides of the triangle l is the length of the rectangle}\\\\ \text{and b is the base of the triangle and h is the altitude of the triangle}[/tex]

    b₁ = 12 cm ; b₂ = 5 cm ; b₃ = 13 cm

   l = 16 cm  ;  b = 12 cm and h = 5 cm

 

Area  = (12 + 5 + 13)*16 + (12*5)

          = 30*16 + 60

          = 480 + 60

          = 540 cm²