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A plane figure bounded by some numbers of straight sides is called a polygon. Thus a polygon with ten-sided is called a decagon.
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.
A regular polygon has all its angles and equal and all its sides equal. Irregular poygons do not. Some people consider only convex shapes meeting these criteria as being regular polygons while others include "star" shapes.
area of a polygon is the amount of area inside the polygon. A square is a polygon and its area is the side length squared, ie times itself. Some polygons are harder to find the area of.
Some are regular and some are not . Regular rectangles are called squares. A square is a regular polygon because all of it's sides and angles are congruent. Oblong rectangles do not have all their sides congruent and so are not regular.