Question

A square pyramid has a base area of 36 ft2. The pyramid’s total surface area is 144 ft2. . . What is the area of each triangular face?. . A.. 108 ft2. . B.. 54 ft2. . C.. 36 ft2. . D.. 27 ft2.

Answer 1

made up of 1 base and 4 identical rectangular faces
base=36
4faces=?
total=base+4faces
144=36+4faces
minus 36 both sides
108=4faces
divide both sides by 4
27=face

the area of each face is 27 ft^2

D is answer

Answer 2

The square pyramid is formed from 1 square base and 4 congruent triangular faces. the total surface area is the sum of the areas of these 5 faces. Since the triangles are congruent, they have the same areas, x.
144 ft² = 36 ft² + 4x
The value of x from the equation is 27. Therefore, the answer to the question above is letter D. 27 ft².