Examples on Perimeter of Trapezoid
Example 1: If the perimeter of the trapezoid is 60 units and the three sides are 10 units, 25 units, and 12 units, respectively, use the trapezoidal formula to find the size of the fourth side.
Solution:
Given,
- Perimeter of Trapezoid = 60 units
- Length of side 1 of Trapezoid =10 units
- Length of side 2 of Trapezoid = 25 units
- Length of side 3 of Trapezoid = 12 units
Let d units be the length of fourth side of trapezoid,
Using Trapezoid Formula,
Perimeter of Trapezoid = Sum of All Sides of Trapezoid
60 = 10 + 25 + 12 + d
60 = 47 + d
d = 13 units
Example 2: Find the perimeter of the isosceles trapezoid with parallel base 12 cm and 20 cm and equal sides, 9 cm.
Solution:
Given,
- First Side of Trapezoid(a) = 12 cm
- Second Side of Trapezoid(b) = 20 cm
- Equal side of Trapezoid(c) = 9 cm
Perimeter of Isosceles Trapezoid(P) = a + b + c + c
P = 12 + 20 + 9 + 9
P = 50 cm
Thus, the perimeter of the trapezoid is 50 cm
How to find the Perimeter of a Trapezoid?
Perimeter of the Trapezoid in Geometry is the sum of all the sides of the trapezoid. It is the length of all its boundaries and is measured in units of length, i.e. perimeter of the trapezoid is measured in cm, m, etc. A trapezoid is a quadrilateral that has a pair of parallel sides (lines). It is a quadrilateral whose perimeter is the sum of all the sides of a quadrilateral.
Here, in this article, we will learn about, What is a Trapezoid, the Perimeter of the trapezoid, the perimeter of the trapezoid formula, examples, and others in detail.
Table of Content
- What is a Trapezoid?
- What is the Perimeter Of Trapezoid?
- Perimeter of Trapezoid Formula
- How to Find Perimeter of a Trapezoid?
- Perimeter of a Trapezoid with a Missing Side