The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
The surface area of the box
To determine the surface area from the net of the box, we simply calculate the area of each shape.
From the given figure, we have the following shapes and dimensions:
- Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ft
- Triangle: Base = 12 ft and Height= 7 ft
The area is then calculated using:
Area = Areas of the rectangle + Area of the triangle
So, we have:
Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7
Evaluate the sum of products
Area = 430.35
Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
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