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 point)
The formula for the surface area of a square pyramid is:
SA = l^2 + 2lb
Given:
Length of the base (l) = 40 in
Surface area (SA) = 2,800 in^2
Plugging the given values into the formula, we have:
2,800 = 40^2 + 2(40)(b)
Simplifying:
2,800 = 1600 + 80b
Subtracting 1,600 from both sides:
1,200 = 80b
Dividing both sides by 80:
15 = b
Therefore, the slant height is 15 inches.