Answer: 61.5 square feet.
Step-by-step explanation:
The surface area of all the figure is the sum of the areas of each plane:
1) Bottom: length * width = 7.5 ft * 1.5 ft = 11.25 ft^2
2) Front view: 7.5 ft * 1.5 ft + 2.5 ft * 1.5 ft = 11.25 ft^2 + 3.75 ft^2 = 15 ft^2
3) Back side = front = 15 ft^2
4) Top surfaces: 3 * 2.5 ft * 1.5ft = 11.25 ft^2
5) laterals = 4 * 1.5 ft * 1.5 ft = 9 ft^2
6) Total = sum = 11.25 ft^2 + 15 ft^2 + 15 ft^2 + 11.25 ft^2 + 9 ft^2 = 61.5 ft^2
Answer: 61.5 ft^2