Use the formula for the surface area of a square pyramid to solve for the slant height if the length of the base is 40 in. and SA equals 2,800 in2 .(1 point)

Answer 1

The formula for the surface area of a square pyramid is:

SA = s² + 2s * slant height

Where:
SA = surface area
s = length of the base side
slant height = sl

Given that the length of the base is 40 in. and the surface area is 2,800 in², we can substitute these values into the equation:

2800 = 40² + 2 * 40 * sl

2800 = 1600 + 80 * sl

2800 - 1600 = 80 * sl

1200 = 80 * sl

Dividing both sides by 80:

15 = sl

Therefore, the slant height is 15 inches.