Answer:
The area of each triangle face is 27 square feet .
Step-by-step explanation:
Given as :
The base area of square pyramid = A = 36 square feet
The total surface area of square pyramid = TSA = 144 square feet
Let The area of each triangle face = x square feet
Now, According to question
Total surface Area of square pyramid = Base area of square pyramid + Area of four triangle faces
Or, TSA = A + 4 × x
Or, 144 ft² = 36 ft² + 4 × x ft²
Or, 4 × x = 144 ft² - 36 ft²
Or 4 × x = 108 ft²
∴ x = [tex]\dfrac{108}{4}[/tex]
i.e x = 27 ft²
So, The area of each triangle face = x = 27 square feet
Hence, The area of each triangle face is 27 square feet . Answer
