What is Trapezoid?
A Trapezoid is a 4-sided geometrical shape with two sides parallel to each other. And we called these two sides (a and b) as bases of the trapezoid. The other two sides (c and d) are called legs. The height of the trapezoid is represented as 'h'. The height (or altitude) of a trapezoid is the perpendicular distance between the two bases. All internal angles of a trapezoid sum to give 360°. Moreover, the angles on the same side of a leg are called adjacent and always sum up to 180° and it determines in the equations as,
α + β = 180°
γ + δ = 180°
Area of a Trapezoid Formula
The area of a trapezoid is basically the average width times the altitude, or as a formula:
Area = 1/2 * height * (base1 + base2)
b1, b2 are the lengths of each base
h is the altitude (height)
Steps to Find the Area of a Trapezoid?
A 4 – sided geometrical figure which has one pair of parallel sides is called a Trapezoid. Most the time the bases are parallel. To find the Area of Trapezoid, all you need to do is just go ahead and implement the steps that are given below:
- First of all, note down the given parameters such as side lengths and height.
- In the next step, Add the parallel bases i.e., base1 and base2.
- Now add the sum of bases and the height of the trapezoid.
- Once, the step is completed just divide the result by 2.
- Finally, you will get the Area of Trapezoid as an output
For more clarity about how to find the area of a trapezoid, we are going to give the solved example below:
Find the Area of Trapezoid whose base1 is 23 cm, base2 is 12 cm and height is 6 cm?
The given parameters such as base1 b1 = 23 cm, base2 b2 = 12 cm, and height h =6 cm
Substitute the values of the bases (b1 = 23 cm and b2 = 12 cm) and height h = 6 cm into the area of a trapezoid formula
Area = 1/2 * height * (base1 +base2)
Put the value of base and height value in Area Formula.
Area = 1/2 * (6 cm) * (23 + 12) cm
Add the bases value b1 = 23 cm and b2 = 12 cm
Area = 1/2 * 6 cm * (35.0 cm)
Multiply 6 cm and 35.0 cm
Area = 1/2 * 210.0 cm2
Divide 210.0 cm2 by 2
Area = 105.0 cm2
Thus, Area of a Trapezoid whose parameters are 23 cm, 12 cm, and 6 cm is 105.0 cm2
How the Area of Trapezoid Calculator Works?
Our Area of Trapezoid is very simple and user-friendly to use. All you need to do is give your required parameters in the input fields arranged on the screen. Along with the inputs also set the unit metric by using the dropdown list. Once, you have entered the needed parameters in the boxes, simply tap on the button called "Area". Finally, it displays the area of trapezoid results after performing all the calculations internally.
Also, you will be known the steps of how it calculates the area of Trapezoid in a detailed explanation. So, utilize this online free Area of Trapezoid Calculator tool and get the results with ease. Know you have got enough idea about how it works and how it helps you to find the trapezoid area when required parameters are there.
FAQs on Trapezoid Area Calculator
1. What's the formula for finding the area of a trapezoid?
The area of a trapezoid is found with the formula, A=(a+b)/2 x h.
2. How do I find the Area of Trapezoid?
You can easily find trapezoid area results by entering the given parameters in our Area of Trapezoid Calculator input fields.
3. This Area of a Trapezoid Calculator is a free online tool or not?
Yes, our Area of a Trapezoid calculator is a free online tool that helps students to make their area of trapezoid calculations much easier and faster.
4. What is the Formula for Perimeter of a Trapezoid?
You can also make use of this area of a trapezoid calculator to calculate the perimeter of this 4-sided geometrical shape. Just do sum of all lengths of the sides together i.e., P = a + b + c + d.