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Trapezium Area Quiz

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Questions and Answers

What is the formula to calculate the area of a trapezium?

(sum of parallel sides) × height

(difference of parallel sides) × height

1/2 × (difference of parallel sides) × height

1/2 × (sum of parallel sides) × height (correct)

In a trapezium, if one of the parallel sides is 5 cm, the other parallel side is 7 cm, and the height is 4 cm, what is the area of the trapezium?

20 sq cm (correct)

16 sq cm

18 sq cm

24 sq cm

If the area of a trapezium is 45 sq units, one of the parallel sides is 10 units, and the height is 9 units, what is the length of the other parallel side?

4 units

6 units

3 units

5 units (correct)

What is the formula to calculate the area of a trapezium?

A = 1/2 * (a + b) * h Signup and view all the answers

If the area of a trapezium is 45 sq units, one of the parallel sides is 10 units, and the height is 9 units, what is the length of the other parallel side?

12 units Signup and view all the answers

In a trapezium, if one of the parallel sides is 5 cm, the other parallel side is 7 cm, and the height is 4 cm, what is the area of the trapezium?

16 sq cm Signup and view all the answers

Study Notes

Trapezium Properties

The area of a trapezium can be calculated using the formula: (a + b) / 2 × h, where a and b are the lengths of the parallel sides, and h is the height.

Example 1

If one parallel side is 5 cm, the other parallel side is 7 cm, and the height is 4 cm, the area of the trapezium can be calculated using the formula.

Example 2

If the area of a trapezium is 45 sq units, one of the parallel sides is 10 units, and the height is 9 units, the length of the other parallel side can be calculated using the formula.

Key Formula

The area of a trapezium formula is: (a + b) / 2 × h, where a and b are the lengths of the parallel sides, and h is the height.

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Description

Test your knowledge of trapeziums with this quiz! Learn the formula to calculate the area of a trapezium and apply it to solve different problems. Practice finding the area when given the parallel sides and height, and also determine the length of one parallel side when the area and height are known.