area of trapezium explain it
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1/2×(sum of parallel side ) × height
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Step-by-step explanation:
When the two trapezoids are combined in this way, the result is a parallelogram, which has two pairs of opposite, congruent sides.
Recall that the area of a parallelogram is its altitude (h) times the length of either base. From the figure above we see that both base lengths are equal to b1+b2. So the area of the parallelogram is
parallelogram area = ( b 1 + b 2 ) · h
Since this is the area of two trapezoids we have to divide this by two, giving
trapezoid arae =
Finally, we get:
Area of trapezium => ½×(sum of parallel sides)×height.
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