Answer:
The area of the roof is 3.80 m².
Step-by-step explanation:
The lateral surface area of an octagonal pyramid is given by:
(1)
Where:
s: is the length of the base edge = 0.5 m
h: is the height
We can find the height from the slant height (S = 1.9 m):
(2)
By solving equation (2) for "h" we have:
Now, we can calculate the area of the roof (equation 1):
Therefore, the area of the roof is 3.80 m².
I hope it helps you!