**PLANE FIGURES**

**CONTENT**

- Construction of Areas of Regular Plane Figures
- Construction of Plane Figures of Equal Areas

**Construction of Areas of Regular Plane Figures**

The area of a plane figure is the space occupied by that figure. Area is usually the product of two lengths and its unit is given in cm^{2} or m^{2}. The areas of plane figures (also known as polygons) can be obtained through the following methods:

(a) Triangles: The area of a triangle is one-half the product of base and height.

(b) Parallelogram: The area of a parallelogram is the product of one side and the perpendicular distance between that side and the opposite side.

(c) Quadrilateral: A quadrilateral is the combination of two triangles. The areas of the two component triangles are found and added to give the area of the quadrilateral

(d) Square or Rectangle: The area of a square or a rectangle is defined as the product of length and breadth

(e) Trapezium: The area of a trapezium is one-half the product of the sum of parallel sides and the distance between them

(f) Regular polygon: The area of a regular polygon is found by joining the vertices of the polygon to the centre so as to form several triangles.

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