Answer:
1280ft²
Step-by-step explanation:
To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.
The area of the square base is
[tex] {40}^{2} = 1600 {ft}^{2} [/tex]
The area of the four triangular faces is
[tex] = 4 \times \frac{1}{2} \times 40 \times 16 = 1280 {ft}^{2} [/tex]
In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof
