Answer:
SA = 152 ft²
Explanation:
First, we can solve for the area of the base (the side closest to us):
A(triangle) = (1/2) · base · height
A(base) = (1/2) · 6 · 4
A(base) = 3 · 4
A(base) = 12
Then, we can solve for the area of the left and right sides:
A(rect) = length · width
A(side) = 8 · 5
A(side) = 40
Next, we can solve for the area of the bottom side:
A(rect) = length · width
A(bottom) = 8 · 6
A(bottom) = 48
Finally, we can solve for the surface area of the tent by adding all of the sides' areas together:
SA = [ 2 · A(base) ] + [ 2 · A(side) ] + A(bottom)
SA = [2 · 12] + [2 · 40] + 48
SA = 24 + 80 + 48
SA = 152 ft²