Question

Emma is going camping. Each side triangle on her tent is 5 feet tall. The square base is 4 feet wide. What is the surface area of her tent?

Answer 1

1. The tent has the shape of a square pyramid. Therefore, to solve this problem, you must apply the formula for calculate its surface area, which is:

 A=2bs+b²

 "A" is the surface area of the square pyramid.
 "b" is the side length of the square base (b=4 feet).
 "s" is the slant of the face (s=5 feet).

 2. When you substitute these values into the formula for calculate the area of the square pyramid (A=2bs+b²), you obtain:

 A=2bs+b²
 A=2(4 feet)(5 feet)+(4 feet)²
 A=2(20 feet²)+16 feet²
 A=40 feet²+16 feet²
 A=56 feet²

 What is the surface area of her tent?

 The answer is: The surface area of her tent s 56 feet².