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?. (1 point)
The formula for the surface area of a square pyramid is:
SA = (l * w) + (l * s)
where l is the length of the base, w is the width of the base, and s is the slant height.
In this case, the length of the base is 40 in., so l = 40 in. We are given that the surface area is 2,800 in², so SA = 2,800 in².
Plugging in these values into the formula, we get:
2,800 = (40 * 40) + (40 * s)
2,800 = 1,600 + 40s
To solve for s, we need to isolate it on one side of the equation. Simplifying the equation, we have:
2,800 - 1,600 = 40s
1,200 = 40s
Dividing both sides by 40, we get:
30 = s
Therefore, the slant height is 30 inches.