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)
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.