1. The problem involves calculating the surface area (SA) and perimeter (P) of a rectangle and then using these values to find the total surface area of a related shape.
2. Given:
- Base (B) = 3.5 cm
- Height (H) = 7.5 cm (inferred from the multiplication 14 x 7.5)
3. Calculate the area of the base:
$$\text{Area of base} = B \times B = 3.5 \times 3.5 = 12.25\,\text{cm}^2$$
4. Calculate the perimeter of the base:
$$P = 4 \times 3.5 = 14\,\text{cm}$$
5. Calculate the total surface area (SA) using the formula:
$$SA = 2 \times \text{Area of base} + P \times H$$
Substitute the values:
$$SA = 2 \times 12.25 + 14 \times 7.5$$
6. Simplify step-by-step:
$$SA = 24.5 + 105 = 129.5\,\text{cm}^2$$
7. Therefore, the total surface area is:
$$\boxed{129.5\,\text{cm}^2}$$
Surface Area Rectangle Cd37C0
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