- 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 cm2 or m2. 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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