You know perimeter is a sum of all lengths of the outer edge of a shape. How to find the perimeter of a trapezoid? The height is sometimes missing in the question, which you can find using the Pythagorean Theorem. To find its area, you need to find the sum of the bases and multiply it by half of the height. How do you find the area of an irregular trapezoid?Īn irregular trapezoid has nonparallel sides of unequal length. Where h is the height and b 1, and b 2 are the parallel sides of the trapezoid. (This is the trapezoid area formula) Trapezoid Area FormulaĪccording to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases.Īrea = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides). 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