How to find the area of a trapezium

Question

Mathematics

Spencer Ashley

8 March, 20:25

How to find the area of a trapezium

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Kendrick Rivera · Answer 1

Area of a Trapezium

A trapezium is a quadrilateral that has only one pair of parallel sides. Consider the area of the following trapezium. To calculate the area of a trapezium, divide it into a rectangle and two triangles as shown below. Now, piece together the triangular ends so that the trapezium is divided into a triangle and rectangle. The base of the triangle is the difference between the lengths of two parallel sides. That is, a - b.

Example 4 Find the area of the following trapezium. Solution:So, the area of the trapezium is 204 m2.

Example 5 Find the area of the following trapezium. Solution:So, the area of the trapezium is 39 cm2.

Remember: A trapezium is a quadrilateral that has only one pair of parallel sides. The area of the trapezium is given by the following formula where a and b are the lengths of the parallel sides and his the perpendicular distance between the parallel sides.

Orlando Ochoa · Answer 2

The formula is a+b divided by 2 times by height.

a and b are the two parallel sides of the trapezium.

The height is the perpendicular height of the trapezium.