Let the height of the pyramid be h.
Since the base of the pyramid is a square with sides of length 12 ft, the area of the base is 12^2 = 144 ft^2.
The lateral area of a pyramid is given by the formula A = 1/2 * P * h, where P is the perimeter of the base and h is the height of the pyramid.
Since the base is a square, the perimeter of the base is 4 times the length of one side: P = 4 * 12 = 48 ft.
Given that the lateral area is 240 ft^2, we can write:
240 = 1/2 * 48 * h
Solving for h:
240 = 24h
h = 240 / 24
h = 10 ft
Therefore, the height of the pyramid is 10 ft.
The lateral area of a pyramid with a square base is 240 ft squared. Its base edges are 12ft long. Find the height of the pyramid
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