Area of Trapezium Worksheet
Grade 12 Math worksheet on calculating the area of trapeziums, including problems with different dimensions and applications.
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Area of Trapezium Worksheet
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Read each question carefully and calculate the area of the trapezium. Show all your work.
1. The formula for the area of a trapezium is A = * (a + b) * h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the perpendicular between them.
2. A trapezium is a quadrilateral with at least one pair of sides.
3. Which of the following is NOT a property of a trapezium?
One pair of parallel sides
Sum of interior angles is 360°
Diagonals bisect each other
Can be isosceles
4. If the parallel sides of a trapezium are 8 cm and 12 cm, and its height is 5 cm, what is its area?
50 cm²
60 cm²
100 cm²
120 cm²
5. Calculate the area of a trapezium with parallel sides of length 10.5 meters and 14.5 meters, and a height of 7 meters.
6. A trapezium has an area of 75 square centimeters. If its parallel sides are 9 cm and 16 cm, find its height.
7. All trapeziums are also parallelograms.
True
False
8. The height of a trapezium must be perpendicular to its parallel sides.
True
False
9. A garden plot is shaped like a trapezium. The parallel sides measure 15 meters and 25 meters, and the perpendicular distance between them is 10 meters. If each square meter of the garden requires 0.5 kg of fertilizer, how much fertilizer is needed for the entire garden?