Solved Examples on Perimeter of Trapezium
Example 1: Calculate the perimeter of a trapezium having parallel sides 4 cm and 6 cm. The non-parallel sides 5 cm and 8 cm?
Solution:
Given,
- Parallel sides are 4 cm and 6 cm
- Non-parallel sides are 5 cm and 8 cm
Perimeter of Trapezium is sum of all sides of Trapezium
Perimeter of Trapezium = Sum of Parallel Sides + Sum of Non-Parallel Sides
Perimeter of Trapezium = 4 cm + 6 cm + 5 cm + 8 cm
Perimeter of Trapezium = 23 cm
Example 2: Calculate the perimeter of a trapezium ground having parallel side 20 m 25 m and non-parallel side 18 m and 16 m?
Solution:
Given,
- Parallel sides are 20 m and 25 m
- Non-parallel sides are 18 m and 16 m
Perimeter of Trapezium is sum of all sides of Trapezium
Perimeter of Trapezium Ground = Sum of Parallel Sides + Sum of Non-Parallel Sides
Perimeter of Trapezium Ground = 20 m + 25 m + 18 m + 16 m
Perimeter of Trapezium Ground = 79 m
Example 3: If the perimeter of the trapezium is 54 cm and the parallel sides are 10 cm and 15 cm. Assume that the non-parallel sides are equal. Then find the length of both of the non-parallel sides?
Solution:
Given,
- Perimeter of Trapezium 54 cm
- Parallel sides are 10 cm and 15 cm
Non-parallel sides are equal, let assume non-parallel side be x
Therefore,
Perimeter of Trapezium = 54 cm
Perimeter of Trapezium = 10 cm + 15 cm + x + x
54 = 25 + 2x
2x = 54 – 25
2x = 29
x = 29/2 = 14.5 cm
Therefore the non-parallel sides of the trapezium are 14.5 cm and 14.5 cm.
Example 4: Calculate the perimeter of the regular trapezium having the parallel side 15 cm 17 cm, the length of the non-parallel side is 8 cm.
Solution:
Given,
- Parallel side of Trapezium are 15 cm and 17 cm
- Length of Non-Parallel sides are 8 cm and 8 cm
Perimeter of Trapezium = Sum of all Sides of Trapezium
Perimeter of Trapezium = 15 cm + 17 cm + 2(8)
= 15 cm + 17 cm + 16 cm
Perimeter of Trapezium = 48 cm
Example 5: Calculate the perimeter of a trapezium having parallel sides 25 cm and 30 cm. The non-parallel sides are 19 cm and 18 cm.
Solution:
Given,
- Parallel sides are 25 cm and 30 cm
- Non-parallel sides are 19 cm and 18 cm
Perimeter of Trapezium we need to add all the sides of the trapezium.
Perimeter of trapezium = Sum of Parallel Sides + Sum of Non-Parallel Sides
Perimeter of trapezium = 25 cm + 30 cm + 19 cm + 18 cm
Perimeter of trapezium = 92 cm
How to find the perimeter of a trapezium?
Trapezium is a quadrilateral in which one pair of opposite sides are parallel. The perimeter of trapezium is the sum of the boundaries of the trapezium. Suppose the sides of the trapezium are , b, c, and d then the perimeter of the trapezium is (a + b + c + d) units.
In this article, we will learn about What is Trapezium? Perimeter of Trapezium, Examples, and others in detail.
Table of Content
- What is a Trapezium?
- Perimeter of Trapezium
- How to Find Perimeter of Trapezium?
- Formula of Perimeter of Trapezoid