- A trapezoid or trapezium is a quadrilateral that has only one pair of opposite sides parallel.
- These parallel sides are called bases and the remaining non-parallel sides are called legs.
- There are two types of trapezoids:
1. Right Trapezoids: If one leg of a trapezoid makes a pair of right angles with the two bases, it is called a right trapezoid.
2. Isosceles Trapezoids: If the legs of a trapezoid are equal, it is called an isosceles trapezoid.
Area of Trapezoids
- The area of a trapezoid is the region enclosed by its four sides.
- The area of a trapezoid depends upon the measure of its bases and height.
- If we know the length of the bases, and the height of a trapezium, we can determine its area using the formula mentioned below.
, where are the length of bases, and height.
- The perimeter of a trapezoid is the sum of the length of all its sides.
Some Solved Examples
Question 1: Find the area of the trapezium shown in the figure below.
Question 2: Find the area of the trapezium shown in the figure below.
- The legs of an isosceles trapezoid are equal.
- The perimeter of a trapezoid is the sum of all its sides.
- , where length of bases, and height of the trapezoid
- To find the area of a trapezoid, correctly identify its bases and height first.
- Note that the height of a trapezoid is perpendicular to both bases.
- Fiona Wong
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