To find the surface area of the rectangular prism represented by the net in the image, we need to calculate the areas of each individual rectangle and square and then add them together.
The net shows the following dimensions:
- Rectangle with dimensions 5 ft by 8 ft: 2(5 ft * 8 ft) = 80 ft²
- Rectangle with dimensions 5 ft by 2 ft: 2(5 ft * 2 ft) = 20 ft²
- Square with dimensions 8 ft by 8 ft: 8 ft * 8 ft = 64 ft²
Adding all these areas together:
80 ft² + 20 ft² + 64 ft² = 164 ft²
Therefore, the surface area of the rectangular prism represented by the net is 164 ft².