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

# Area of a Trapezoid

## Trapezoid Area Formula

The formula for area of a trapezoid is given as:**A = ^{1}⁄_{2}h(a + b)**

Where

*A*is the area,

*h*is the height,

*a*is the short base, and

*b*is the long base.

### Example Problems

**Problem 1:**

The two bases of a trapezoid are 4 and 6 long. The height is 10. What is the area of the trapezoid?

Solution:

1.) Plugging the given values into the area formula, we get:

A = ^{1}⁄_{2}h(a + b)

A = ^{1}⁄_{2}(10)(4 + 6) = (5)(10) = 50

2.) **The area is 50.**

**Problem 2:**

A trapezoid is made up of a square with an area of 10 and two congruent triangles with an area of 5 each. What is the area of the trapezoid?

Solution:

1.) We have the area of all three shapes that compose the trapezoid. Therefore, we can add them together to find the trapezoid’s area.

A = a1 + a2 + a3

A = 10 + 5 + 5 = 20

3.) **The trapezoid’s area is 20.**

Result :

Worksheet 1

Download.pdf

Cheat sheet

Download.pdf