Areas of Triangles and Quadrilaterals

Area Addition Postulate: The area of a given polygon equals the sum of the areas of the non overlapping polygons that form the given polygon.

You can find the area of a trapezoid in a similar way like the area of a triangle. The altitude of a trapezoid h is a segment perpendicular to each base.

Every regular polygon has a center, a point in the interior that is equidistant from all the vertices. A segment drawn from the center that is perpendicular to a side of the regular polygon is called an apothem (AP- -them). In any regular polygon, all apothems are congruent.

Find out more about the areas of triangles and quadrilaterals by reading the explanation below.

Areas of Triangles and Quadrilaterals


Practice: Estimate the areas of polygons by answering the exercises below.

Areas of Triangles and Quadrilaterals 1

Areas of Triangles and Quadrilaterals 2

Areas of Triangles and Quadrilaterals 3