Step-by-step explanation: To find the approximate area of one of the actual triangular faces of the Louvre Pyramid, we need to consider the scale factor and the area of Katelyn's model.
The scale factor of 4 means that the dimensions of Katelyn's model are 1/4 of the actual dimensions of the Louvre Pyramid.
Since area is a two-dimensional measurement, it is affected by the scale factor squared. This means that the area of Katelyn's triangular face, which is approximately 333.5 ft², will be 4^2 times smaller than the area of the actual triangular face.
Calculating the area of the actual triangular face:
Area of Katelyn's triangular face = 333.5 ft²
Area of actual triangular face = Area of Katelyn's triangular face × (scale factor)^2
Area of actual triangular face = 333.5 ft² × (4)^2
Area of actual triangular face = 333.5 ft² × 16
The area of the actual triangular face ≈ 5336 ft²
Therefore, the approximate area of one of the actual triangular faces of the Louvre Pyramid is 5336 ft².