Answer:
720 m²
Step-by-step explanation:
Surface area of the triangular prism = bh + (perimeter of the triangular base)(height of prism)
Height of prism = 22 m
b = 5 m
h = 12 m
Perimeter = sum of all sides of the triangular base
We only know two sides of the triangle, 5 and 12, let's use Pythagorean theorem to find the third side (hypotenuse).
Hypotenuse = √(12² + 5²) = √169 = 13 m
Perimeter = 5 + 12 + 13 = 30 m
✔️Surface area of the prism = 5*12 + (30)(22)
= 60 + 660
= 720 m²