Trapezoid Area Calculator

Area of a Trapezoid Calculator

Trapezoid area calculator! An online tool to calculate the area of a trapezoid. Moreover, it can be used to calculate:

• Base a
• Base b
• Height
• Side c
• Side d
• Perimeter

You can either choose the base or sides of a trapezoid as a parameter to find its area by using a trapezoid calculator.

In this space, we will explain how to use the area of a trapezoid calculator, trapezoid definition, trapezoid area formula, and how to calculate the area of a trapezoid without using a calculator.

What is a Trapezoid?

A trapezoid is a four-sided flat shape with one pair of opposite parallel sides. It appears as if the top of the triangle was cut parallel to the base.

Typically, the longest side of a trapezoid lies downwards and there are two sloping sides for the edges. Usually, the top part is shorter than the lower part. 

The internal angles of a trapezoid are collectively 360°. The angles on the same side of the leg are also known as adjacent and always amount to 180 °.

α + β = 180°

γ + δ = 180°

Formula of Trapezoid Area Calculator

The formula for the area of a trapezoid is derived from area of triangle formula. It can be stated as:

A = (a + b) × h / 2

Where:

• A represents the area of a trapezoid,
• a represents the upper parallel side or upper base of a trapezoid,
• b represents the base of a trapezoid, and
• h refers to the height of a trapezoid.

Note: If a trapezoid with equal lengths of sides having a = b, it would be a rectangle. You can calculate the rectangle area using our area of rectangle calculator.

Perimeter of Trapezoid Formula

Perimeter of a trapezoid can be calculated using the following equation of area of a trapezoid calculator:

P = a + b + c + d

Perimeter of a trapezoid can also be calculated using this trapezoid area calculator.

How to use Trapezoid Calculator?

Before calculating the area or perimeter of a trapezoid, you must know how to use this area of trapezoid calculator for that purpose. 

To use this trapezoid area formula calculator, follow the below steps:

• Select the option for which you want to solve a trapezoid, i.e., area, perimeter, etc.
• Choose the parameters. For example, if you select area in the first step, you can choose from two set of parameters:
  • Base a, base b, height
  • Side c, side d, height, perimeter
• Enter the values in the respective input boxes.
• You can use any unit of measurement. i.e., cm, inches, feet, meters, yard, etc.
• Hit the Calculate button to get the required value of the trapezoid.

How to Find the Area of a Trapezoid?

The question, “what is the area of a trapezoid” has been asked so many times. We will answer this question and explain it in detail in this section. You can always use our trapezoid calculator above, however, you should be able to find the area of a trapezoid by yourself.

To calculate the trapezoid area, follow the below steps:

• Measure and write down the base a, base b, and height h of the trapezoid.
• Write down the formula of the trapezoid area.
• Substitute the values in the formula and calculate the area.

Example:

Find the area of a trapezoid that has a height of 8 cm, upper length of 4 cm, and bottom length of 6 cm?

Step 1: Measure and write down the base a, base b, and height h of the trapezoid.

a = 4 cm, b = 6 cm, h = 8 cm

Step 2: Write down the formula of the trapezoid area.

A = (a + b) × h / 2

Step 3: Substitute the values in the formula and calculate the area.

A = (4 cm + 6 cm) × 8 / 2

A = 10 cm × 4

A = 40 cm

So, a trapezoid with 8 cm height, 4 cm top side, and 6 bottom side would have area of 40 cm.

FAQ’s

Is the Area of a Trapezoid Squared?

No, the area of a trapezoid is not squared. In the trapezoid area equation, we add both the upper and lower sides of a trapezoid. That is why the area of a trapezoid doesn’t get squared.

A = (a + b) × h / 2

It comes in a single measurement unit such as centimeters, inches, etc if you use our area of a trapezoid calculator step by step.

What is a Trapezoid Look Like?

A trapezoid has four sides. Two of the sides are parallel to each other. A trapezoid looks like a triangle with a flat upper corner.

Is a Rectangle a Trapezoid?

According to the inclusive definition of a trapezoid, the rectangle is a trapezoid along with rhombuses and squares. So, inclusively, we can say that rectangle is a trapezoid.

Is Every Trapezoid a Rhombus?

No. Every trapezoid is not a rhombus. A rhombus has two pairs of parallel sides while a trapezoid has one pair of parallel sides. If a trapezoid has both pairs of parallel sides, then it will be a rhombus.