Derive the trapezoid area formulaĪrea of a trapezium ADEF = (½ x AB x FB) + ( BC x FB) + (½ x CD x EC) Therefore, we can calculate the area of a trapezoid by taking the sum of the areas of two triangles and one rectangle. It is the space enclosed in 2D geometry.įrom the illustration above, a trapezoid is composed of two triangles and one rectangle. The area of the trapezium is the region covered by a trapezium in a two-dimensional plane.
How to find the area of a trapezoid using the trapezoid area formula.How to derive the trapezoid area formula and,.But having one right angle is not possible because it has a pair of parallel sides, which bounds it to make two right angles simultaneously. The trapezoids can be both right trapezoids (two 90-degree angles) and isosceles trapezoids (two sides of the same length). In simple words, the base and height of a trapezoid are perpendicular to each other. The perpendicular distance between the two parallel sides of a trapezium is known as a trapezoid height. In a trapezoid, the parallel sides are known as the bases, while the pair of non-parallel sides are known as the legs. Like square and rectangle, a trapezoid is also flat. To recall, a trapezoid, also referred to as a trapezium, is a quadrilateral with one pair of parallel sides and another pair of non-parallel sides.
Area of Trapezoid – Explanation & Examples