
To find: the lateral area of the square pyramid.

Answer to Problem 10PPS
The lateral area of the square pyramid is
Explanation of Solution
Given:
Slant height is 856 ft
Length of the side of the base is 145 ft.
The objective is to find the lateral area of the square pyramid.
Formula used:
The lateral area L of a square pyramid is
Calculation:
The side of the square is 145 ft
The perimeter P of the square is P = 4 (side).
Substitute side = 145 in the perimeter formula to find the perimeter of the square.
Thus,
The slant height of the square pyramid is 856 ft.
Substitute P = 580 and l = 856 in the lateral surface area to find the lateral surface area of the square pyramid.
Conclusion:
Therefore, the lateral area of the square pyramid is
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