Back to: Mathematics Primary 6
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A trapezium is a Four-sided figure with one pair of its Opposite sides parallel. A trapezium is a quadrilateral that has only one pair of parallel sides.
Examples; 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.
Area of trapezium = area of triangle + area of rectangle
Or. A. = ( a+b) x h
2
Example;
Find the area of the following trapezium.
a = 20. b = 14, h = 12
A = a+b/2 x h
= 20 + 14 x 12
2
= 34/2 x 12
= 17 x 12 = 204cm2
EVALUATION
- . ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 20 cm, BC = 13 cm and DC = 25 cm. Find the area of the trapezium.
- The area of a trapezium is 165 cm² and its height is 10 cm. If one of the parallel sides is double of the other, find the two parallel sides.
- . Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.
- The area of a trapezium is 1080 cm². If the lengths of its parallel sides are 55.6 cm and 34.4 cm, find the distance between them
- . Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.
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