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Area of trapezium: To obtain the area of a trapezium, multiply the sum of the bases by the height and then divide by \(2\).
The area of a trapezium is computed with the following formula:
Area of trapezium \(=\) square units.
(where \(a\) and \(b\) is bases (parallel sides) and \(h\) is leg or height (between the non-parallel sides)).
Area of the trapezium \(ABCD\):
Proof: Area of a trapezium \(ABCD\).
Area of trapezium \(ABCD\) \(=\) \(square units\).
\(=\) area of triangle \(+\) area of rectangle \(+\) area of triangle
\(=\) \(+\) \(+\)
\(=\) \(+\) \(+\)
\(=\)
\(=\)
\(=\)
\(=\)
\(=\)
\(=\) \(\frac{1}{2}\times\)(\(\text{sum of parallel side}\)) \(\times\)\((\text{height})\) square units.
Therefore, Area of trapezium \(ABCD =\) or
Perimeter of trapezium: The Perimeter is the sum of all side lengths.
The perimeter of a trapezium is computed with the following formula:
Perimeter of trapezium \(=\) \(a + b + c + d\) (where \(a\), \(b\) are denoted as bases (parallel sides) and \(c\), \(d\) are denoted as legs (non-parallel sides)).
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