Geometry

##### Related Lessons

- 3 4 5 Triangle
- 30 60 90 Triangle
- 45 45 90 Triangle
- 5 12 13 Triangle
- Arc Length Calculator
- Area of a Circle Calculator
- Area of a Hexagon
- Area of a Kite
- Area of a Parallelogram
- Area of a Pentagon
- Area of a Rectangle
- Area of a Rhombus
- Area of a Sector
- Area of a Semicircle
- Area of a Square
- Area of a Trapezoid
- Area of a Triangle
- Center of Mass Calculator
- Circumference Calculator
- Distance Formula
- Distance Formula Calculator
- Geometry Calculators
- How to Find the Height of a Triangle
- Isosceles Triangle Theorem
- Perimeter of a Circle
- Perimeter of a Pentagon
- Perimeter of a Rectangle
- Perimeter of a Rhombus
- Perimeter of a Semicircle
- Perimeter of a Square
- Perimeter of a Trapezoid
- Perimeter of a Triangle
- Properties of a Parallelogram
- Pythagorean Theorem Calculator
- Side Angle Side Theorem
- Side Splitter Theorem
- Similar Triangles
- Special Right Triangles
- Surface Area of a Cone
- Surface Area of a Cube
- Surface Area of a Cylinder
- Surface Area of a Hemisphere
- Surface Area of a Pyramid
- Surface Area of a Sphere
- Surface Area of a Triangular Prism
- Triangle Inequality Theorem
- Types of Triangles
- Vertical Angles
- Volume of a Cone
- Volume of a Cube
- Volume of a Hexagonal Prism
- Volume of a Pyramid
- Volume of a Sphere
- Volume of Hemisphere
- Volume of Parallelepiped

Tutors/teachers:

Nikkolas

Tutor and Aerospace Engineer

# Perimeter of a Trapezoid

## The Perimeter Formula

A trapezoid is a quadrilateral with only one pair of parallel sides.

The formula for perimeter is given as:**P = a + b + c + d**

Where *P* is the perimeter, and *a* → *d* are the side lengths.

### Example Problems

**Problem 1:**

Find the perimeter of a trapezoid with legs lengths of 10 and 12, and base lengths of 6 and 8.

Solution:

All we need to do is add the 4 sides together, just as the formula says.

P = a + b + c + d

P = 6 + 8 + 10 + 12 = 36**The perimeter of the trapezoid is 36.**

**Problem 2:**

A trapezoidal floor plan’s perimeter is measured to be 12 meters. The bases are measured as 3 and 4 meters, and the leg sides (labeled *c* and *d* in the image above) are equal in length. What is the length of the legs?

Solution:

Since the legs are equal in length, c = d. We can replace c + d in the perimeter formula with 2c.

Plugging what we know into the formula, we get:

P = a + b + c + d

12 = 3 + 4 + 2c

5 = 2c

c = 2.5, d = 2.5**The length of each leg side is 2.5 meters.**

Result :

Worksheet 1

Download.pdf

Cheat sheet

Download.pdf