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Wrinkles
Mathematics
20 September, 15:10
How to find the area of a trapezium
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Edwin Dorsey
20 September, 15:35
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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.
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Olive Hanson
20 September, 15:36
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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.
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