Take a look at one of the triangles. Base is 10 ft and height is sqrt(10^2-5^2), or h = sqrt(75) = 5sqrt(3).
Then the area of one such triangle is A = (1/2)(base)(height)
= (1/2)(10)(3sqrt(3) ).
Since there are 2 such triangles, mult. this result by 2: We get
30sqrt(3).
This leaves us with the task of finding the area of the slant sides and of the base. Base = 150 ft^2; 2 slant sides = 2(150 ft^2) = 300 ft^2. Total 450 ft^2.
Now please evaluate 30sqrt(3)+450 ft^2.