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The area of the rectangular platform is found by multiplying the length by the width:
Area = 12.00 m * 8.00 m = 96.00 m^2
The formula for the area of an ellipse is:
Area = π * a * b
where a is the semi-major axis and b is the semi-minor axis.
Since the major axis of the ellipse is given as 16.00 meters (the full major axis would be 2a), we can divide it by 2 to find the semi-major axis:
a = 16.00 m / 2 = 8.00 m
To find the semi-minor axis, we can rearrange the formula for the area of an ellipse:
b = Area / (Ï€ * a)
b = 96.00 m^2 / (Ï€ * 8.00 m)
b ≈ 3.817 m
Rounded to 3 significant digits, the minor axis of the elliptical platform is approximately 3.82 meters.