Subjects geometry

Surface Area Rectangle Cd37C0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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: $$\boxed{129.5\,\text{cm}^2}$$