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Trapezoid Area Calculator
Welcome to the trapezoid area calculator! An online tool to calculate the area of trapezoid. Moreover, it can be used to calculate:
- Base a
- Base b
- Height
- Side c
- Side d
- Perimeter
The exciting thing about this tool is; it lets you calculate the trapezoid area using its bases as well as with sides. You can either choose base or sides of trapezoid as a parameter to find its area.
Plenty of options right? That’s because our priority is to make our tools extra efficient and more productive.
In this space, we will explain how to use area of a trapezoid calculator, trapezoid definition, trapezoid area formula, and how to calculate area of trapezoid without using calculator.
How to use trapezoid area calculator?
Before calculating the area or perimeter of trapezoid, you must know how to use this calculator for that purpose. This tool is a must have utility for civil engineers and those who are working on their geometry assignments or projects. By using this tool, you will be able to find any value for a trapezoid on the go.
To use this 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 trapezoid.
Trapezoid calculator quickly reads the values given by user and produce accurate results in few seconds. It shows the trapezoid equation as well as all steps to perform the calculation. You can use this tool to prepare the topic for your exams or assignments.
What is a trapezoid?
A trapezoid is a four-sided flat shape with one pair of opposite parallel sides. It appears as if top of 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°
Area of trapezoid formula
Formula for 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 trapezoid,
a represents the upper parallel side or upper base of trapezoid,
b represents the base of trapezoid, and
h refers to the height of trapezoid.
Note: If a trapezoid with equal length 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 trapezoid can be calculated using the following equation:
P = a + b + c + d
Perimeter of a trapezoid can also be calculated using the above calculator.
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 calculate the area of 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 trapezoid area.
- Substitute the values in the formula and calculate the area.
Example:
Find the area of a trapezoid that have 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 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 trapezoid area equation, we add both upper and lower sides of trapezoid. That is why, the area of trapezoid doesn’t get squared.
A = (a + b) × h / 2
It comes in a single measurement unit such as centimeter, inches, etc.
What is a formula of trapezium?
The formula for area of trapezium can be expressed as:
Area of trapezium = ½ × (a + b) × h
Or it can also be stated as:
Area = ½ × Distance between the parallel sides (height) × Sum of parallel sides
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 flat upper corner. See the trapezoid image below:
Is a rectangle a trapezoid?
According to the inclusive definition of a trapezoid, 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. Rhombus has two pairs of parallel sides while trapezoid has one pair of parallel side. If a trapezoid has both of pair of parallel sides, then it will be rhombus.
Is trapezoid and trapezium same?
Trapezoid and trapezium are not same shapes. A trapezoid is a quadrilateral with at least one pair of parallel sides while a trapezium is a flat shape with four sides having no parallel sides.
The controversy of difference between trapezium and trapezoid dated back to two hundred years. USA and Britain both have different opinions on this matter.
How do you tell if a shape is a trapezoid?
You can recognize a trapezoid shape if it has at least one pair of parallel sides out of four sides. We see several trapezoid shapes in our daily life without noticing such as handbags, popcorn packs, table tops, etc.
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