Answer:
The answer to your question is Area = 620 m²
Explanation:
Process
Find the area of the different parts of the prism and later added them.
1.- Area of the base
Area of a rectangle = 10 m x 24 m = 240 m²
2.- Area of the lateral sides (there are 2)
Area of a rectangle = 10 x 13 x 2 = 260 m²
3.- Area of the triangles (there are 2)
Calculate the height using the pythagorean theorem
13² = 12² + b²
b² = 13² - 12²
b² = 169 - 144
b² = 25
b = 5
Area = 1/2 (24 x 5) x 2 = 120 m²
4.- Total area
Area = 120 + 260 + 240
= 620 m²