Area of a Trapezium <span>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.<span> Example 4</span>Find the area of the following trapezium.Solution:So, the area of the trapezium is 204 m2.<span> Example 5</span>Find the area of the following trapezium.Solution:So, the area of the trapezium is 39 cm2.<span> Remember:</span><span><span>A trapezium is a quadrilateral that has only one pair of parallel sides.</span><span>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. </span></span></span>
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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