You get the area by using formulas. There is usually a specific formula to find the area of each shape. Some irregular shaps may not have a formula.
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No, a line is not a polygon. A polygon is a closed plane area bounded by straight sides. A line, by itself, does not contain an area.
A polygon has lengths, angles, a perimeter and area.
The area of a polygon is the two-dimensional set of all points surrounded by the sides of the polygon. If you're looking for an equation, it varies based on the number of sides and the shape of the polygon.
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Area of regular polygon: 0.5*apothem*perimeter