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The equation for the surface area of both triangular bases of the net can be calculated using the formula for the area of a triangle:
Area of a triangle = 1/2 * base * height
The two triangular bases have different dimensions:
- Triangle 1: base = 3.5 ft, height = 6.5 ft
- Triangle 2: base = 5.5 ft, height = 6.5 ft
Therefore, the total surface area of both triangular bases can be calculated as follows:
Surface area = Area of Triangle 1 + Area of Triangle 2
Surface area = (1/2 * 3.5 * 6.5) + (1/2 * 5.5 * 6.5)
Surface area = (1/2 * 22.75) + (1/2 * 35.75)
Surface area = 11.375 + 17.875
Surface area = 29.25 square feet
Therefore, the equation for the surface area of both triangular bases of the net is 29.25 square feet.