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A = 1/2 (b1 + b2) h

b1 = base 1 (usually the bottom)

b2 = base 2 (usually the top)

h = height

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Which of the following is the correct formula to calculate area of a trapezium?

Let's call the parallel sides A and B, and the distance between them as H. The area of the trapezium, or K, is (A+B)H/2. K = (A+B)H/2


Why does the formula of a trapezium work?

The formula for the area of a trapezium (or trapezoid) works by averaging the lengths of the two parallel sides (bases) and then multiplying by the height. This approach effectively transforms the trapezium into a rectangle with the same height and an area equivalent to that of the trapezium. By using the average of the bases, the formula accounts for the varying widths at either end, ensuring an accurate calculation of the total area. Thus, the formula ( \text{Area} = \frac{(b_1 + b_2)}{2} \times h ) captures the geometric properties of the shape.


How do you calculate the height of trapezium when area is not given?

In that case, it would be good to know WHAT is given. If NOTHING is given, you really can't calculate.


What is altitude of trapezium?

The altitude of a trapezium (or trapezoid) is the perpendicular distance between its two parallel sides. It is the shortest distance between these sides and is essential for calculating the area of the trapezium using the formula: Area = (1/2) × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides.


How is the formula of a trapezoid related to the formula of a parallelogram?

Suppose you have a trapezium whose parallel sides (bases) are of lengths A and B units, and where the height is h units If you flip a trapezium over and append it to the original along one of the bases you will have a parallelogram whose base is A+B units in length and whose height is h units. So 2*Area of trapezium = Area of parallelogram = (A + B)*h

Related Questions

Which of the following is the correct formula to calculate area of a trapezium?

Let's call the parallel sides A and B, and the distance between them as H. The area of the trapezium, or K, is (A+B)H/2. K = (A+B)H/2


What is the formula for calculating the area of a trapezium?

area of trapezium=1/2{a+b}h


Formula for trapezium?

the sides ofn trapezium are 11.3cm 14.5cm, 11.1cm, and 6.5cm. The perpendicular height is 10.4cm calculate the are giving your answer to an appropriate degree accuracy try this instead 1/2*(Area of top + Area of bottom)*Height


Formula for area of trapezium?

Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA


What is the Area of a trapezium a21 b30 h4 and d0.8m calculate the area to 2 decimal places 1 can paint coats 25m2 how much for 2 coats of area?

Not too sure of the question but the area formula for a trapezium is: 0.5*(sum of parallel sides)*height


Why does the formula of a trapezium work?

The formula for the area of a trapezium (or trapezoid) works by averaging the lengths of the two parallel sides (bases) and then multiplying by the height. This approach effectively transforms the trapezium into a rectangle with the same height and an area equivalent to that of the trapezium. By using the average of the bases, the formula accounts for the varying widths at either end, ensuring an accurate calculation of the total area. Thus, the formula ( \text{Area} = \frac{(b_1 + b_2)}{2} \times h ) captures the geometric properties of the shape.


What is the formula to work out the area of a trapezium?

1 - (a+b) X h 2


What is the formula to find the surface area of a tent?

There is no simple formula since tents come in all shapes and sizes. Divide the tens up into coherent shapes, calculate the area of each shape using the appropriate formula for a rectangle, trapezium, triangle or whatever and add the results together.


What is the formula of area and perimeter of trapezium?

Area = (1/2)*(sum of the parallel sides)*(distance between them)


How do you calculate are of trapezium?

The answer depends on what information you have. If you know the lengths of the two parallel sides (a and b) as well as the vertical distance between them (h), then Area = (a + B)*h/2 square units. Obviously, a different formula will be required if you have information about other aspects of the trapezium.


How do you calculate the area of a trapezium?

bigger base + smaller base x height/2


How do you derive the formula of finding the area of a trapezium?

It is: 0.5*(sum of its parallel sides)*height