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 in^2 .(1 point)

Answer 1

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

SA = l² + 2ls

Where SA is the surface area, l is the length of the base, and s is the slant height.

Given that SA = 2,800 in² and l = 40 in, we can substitute these values into the formula:

2,800 = 40² + 2(40)(s)

Expanding and simplifying, we get:

2,800 = 1,600 + 80s

Subtracting 1,600 from both sides:

1,200 = 80s

Dividing both sides by 80:

s = 15

Therefore, the slant height is 15 inches.