Area of a trapezium Calculator

Q: How do you calculate the area of a trapezium?

Use A = ((a + b) / 2) × h , where a and b are the two parallel bases and h is the height.

Q: What is the trapezium area formula using the midline?

If m is the trapezium midline, then A = m × h . The midline is the average of the two bases: m = (a + b) / 2 .

Q: Can I find a missing base from the area and height?

Yes. Rearranging the formula gives a = (2A / h) - b or b = (2A / h) - a , depending on which base is missing.

Q: Can I find the trapezium height from the area and two bases?

Yes. Solve the area formula for height: h = 2A / (a + b) .

Area of a trapezium calculator: compute the area of trapeziums accurately with our online calculator. Ideal for geometry and math.

This calculator finds the area of a trapezium from two bases and height or from midline and height. It also works in reverse when the area is known and you want to solve for a missing base, the height, or the trapezium midline.

The standard trapezium area formula is A = ((a + b) / 2) × h. Because the average of the two parallel bases is the midline m, the same formula can also be written more simply as A = m × h.

That makes the midline a useful extra result as well: when two bases are known, the calculator can also show m = (a + b) / 2. In American English, this same shape is usually called a trapezoid.

Initial Data

Area of a trapezium formulas

$$A= \frac{a+b}{2} \times h$$

Two bases and height Midline and height

Base a (a)

Base b (b)

Height (h)

Area (A)

2-dimensional shapes

3-dimensional shapes

Area of a Trapezium Calculator FAQs

How do you calculate the area of a trapezium?
Use A = ((a + b) / 2) × h, where a and b are the two parallel bases and h is the height.

What is the trapezium area formula using the midline?
If m is the trapezium midline, then A = m × h. The midline is the average of the two bases: m = (a + b) / 2.

Can I find a missing base from the area and height?
Yes. Rearranging the formula gives a = (2A / h) - b or b = (2A / h) - a, depending on which base is missing.

Can I find the trapezium height from the area and two bases?
Yes. Solve the area formula for height: h = 2A / (a + b).

What is the difference between a trapezoid and a trapezium?
The naming depends on regional convention. On this site the primary term is trapezium, while in American English the same shape is usually called a trapezoid.

» Area of a trapezium Calculator

Initial Data

Area of a trapezium formulas

See also:

2-dimensional shapes

3-dimensional shapes

Area of a Trapezium Calculator FAQs