Question

Could someone solve these for me with the work for extra points please!! I’ll mark the brainiest

Answer 1

a. 800$m^{2}$

b. 96,568.54 ft^2

The formula for solving for surface area of a pyramid is: B + (1/2*P*l), with B being the area of the base, P being the perimeter of the base, and l being the slant of the pyramid.

Steps for a:

1. 16*16 = 256 (this is the B)
2. 16*4 = 64 (this is the P)
3. (1/2*64*17) = 544 (17 is the slant)
4. 256 + 544 = 800

Steps for b:

1. 200*200 = 40,000 (this is the B)
2. 200*4 = 800 (this is the P)
3. This step is a bit tricky, but to find the slant of the pyramid, use the Pythagorean theorem $a^{2} + b^{2} = c^{2}$: $100^2 + 100^2 = 20,000$. Then, use the square root of 20,000 to find the slant (141.4213562
4. (1/2*800*141.4213562) = 56,568.54248
5. 40,000 + 56,568.54248 = 96,568.54 ft^2

Hope this helps!