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1/2 = (a+b) H
This means:
Half x (a+b) x height
If you don't like working out the area of a trapezium , split the shape up into a triangle and a rectangle and work each bit out separately. Area = 1/2*(sum of parallel sides)*height
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A better definition is
1/2*sum of parallel sides*perpendicular distance between them.
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JudyA more useful formula is
1/2*sum of parallel sides*perpendicular distance between them.
The reason that this is "better" will become when you learn the trapezium rule for approximating the area under a curve. The approximation is based on a whole lot of tall thin trapezia which are lined up vertically on the x-axis - like in a bar chart with no gaps between bars. So the parallel sides (a and b) are vertical, and the "height" is actually the width of the trapezium - and is measured in the horizontal direction.
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How do you work area of trapezium?
0.5 * (a + b) * h
How do you work out the area of a 6 sided trapezium?
Simple. It is zero, since a six sided trapezium cannot exist! By definition, a trapezium is a quadrilateral and so it can have exactly four sides - no more, no fewer!
What are the properties of height and trapezium?
The area of a trapezium is found because: 0.5*(sum of parallel sides)*height = area
Area of the trapezium is?
Let the two parallel sides be a and b, and the distance between them, the height of the trapezium, be h. Then: area of trapezium = 1/2 (a+b) h That is half the sum of the two parallel sides times the height of the trapezium.
How do you work out the area of an irregular trapezium?
If the two parallel sides are of length a and b, and the vertical distance between them is h then area = h*(a+b)/2 square units.
