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A = (1/2)*(a+b) * h
Where a and b are the lengths of the two parallel lines which form the base and top of the shape.
(Half the sum of the parallel sides) X (the distance between them)
That's how my maths teacher taught us. Here is the song, it goes to the tune of pop-goes-the-weasel.
Half the sum of the parallel sides
Times the distance between them
da da da da dadadada
POP goes the weasel!
Area of a trapezium or a trapezoid = 0.5*(sum of its parallel sides)*height
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Facts about a trapezium?
A trapezium is a quadrilateral (has four sides). Two sides are parellel, but the other two are not. To find the area of it, the formula is: 1/2 h(a+b)
Area of trapezium?
Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA
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
How can you find the area of a trapezoid using composite figures?
Suppose the base and parallel sides of the trapezium are labelled a and b. Suppose, also, that the distance between a and b is h. Draw a diagonal. This will split the trapezium into one triangle whose base is the trapezium's base (a) and another upside-down triangle whose base is the trapezium's top (b). The heights of both these triangles will be the same as the distance between the parallel sides of the trapezium (h). The area of the first triangle is 0.5*a*h The area of the second triangle is 0.5*b*h So the area of the trapezium = 0.5*a*h + 0.5*b*h = 0.5*(a+b)*h
How do you work out the area of trapezium?
Area = 1/2*(sum of the parallel sides)*height
