Trapezium Examples
Example 1: Find the fourth side of the trapezium, if the other three sides are 8 cm, 12 cm, and 16 cm, and the perimeter is 40 cm.
Solution:
Perimeter is given as the sum of all its sides. Let the length o unknown be ‘x’ units.
Perimeter = 40
40 = 8 + 12 + 16 + x
x = 40 – (8 + 12 + 16)
= 4 cm
Thus, length of the unknown side is 4 cm
Example 2: A trapezium has parallel sides of lengths 15 cm and 11 cm, and non-parallel sides of length 5 cm each. Calculate the perimeter of the trapezium.
Solution:
It is a Isosceles Trapezium because it is clearly mentioned that non parallel sides of length 5 cm each are equal.
According to Isosceles Trapezium if two non-parallel sides of Trapezium are of equal length then it is known as Isosceles Trapezium.
Given,
- a = 15 cm
- b = 11 cm
- c = 5 cm
Perimeter = a + b + 2c
P = 15 + 11 + 2(5)
P = 15 + 11 + 10
P = 36 cm
Example 3: Find Perimeter of a Trapezium whose sides are 12 cm, 14 cm, 16 cm, and 18 cm.
Solution:
P = Sum of all Sides
P = 12 + 14 + 16 + 18
P = 60 cm
Hence, perimeter of trapezium is 60 cm
Example 4: Find Area of Trapezium, in which sum of parallel sides is 60 cm, and its height is 10 cm.
Solution:
Given,
- Sum of Parallel sides 60 cm
- height, h = 10 cm
Area of Trapezium, A = 1/2 × Sum of parallel sides × Distance between Parallel Sides
Substituting Given Values,
A =1/2×60×10
A = 30×10
A = 300 cm2
Therefore, Area of Trapezium =300 cm2
Trapezium in Maths | Formulas, Properties & Examples
Trapezium in Maths: A Trapezium is a polygon with four sides, i.e. it is a quadrilateral. Trapezium originated from the Greek word “trapeze” which means table. It is a complex quadrilateral. A trapezium is a special quadrilateral with only one pair of parallel sides. A trapezium is a two-dimensional shape that appears as a table.
A trapezium has four sides and four vertices. We see the trapezium shape in our daily life and it is one of the most common shapes. In this article, we will learn about what is trapezium in maths, its properties, formulas, examples, and types of trapezium, along with some solved examples of it.
Table of Content
- What is a Trapezium in Maths?
- Types of Trapezium
- Irregular Trapezium
- Properties of Trapezium
- Trapezium Formula
- Area of Trapezium Formula
- Perimeter of Trapezium Formula
- Difference between Trapezium and Trapezoid
- Angles of Trapezium
- Diagonal of Trapezium
- Trapezium Examples
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