If the surface area of a square pyramid is 65 ft.2 and the areas of the four triangular faces is 40 ft.2 , what is the length of one of the sides? (1 point) Responses 5 ft. 5 ft. 6.25 ft. 6.25 ft. 21 ft. 21 ft. 25 ft.

Answer 1

To find the length of one of the sides of the square pyramid, we first need to determine the area of the base.
The total surface area of the square pyramid is given as 65 ft^2, and the sum of the areas of the four triangular faces is given as 40 ft^2.
Therefore, the area of the base of the pyramid is:
65 ft^2 - 40 ft^2 = 25 ft^2

Since the base of the pyramid is a square, the area of a square is given by the formula:
Area = side * side
25 ft^2 = side * side
25 ft^2 = side^2
Therefore, side = sqrt(25) = 5ft

Therefore, the length of one of the sides of the square pyramid is 5ft.

The correct response is: 5 ft.