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?

<p>A = 1/2 * (a + b) * h (A)</p> 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?

<p>12 units (A)</p> 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?

<p>16 sq cm (C)</p> Signup and view all the answers

Flashcards

Area of a Trapezium

The area of a trapezium can be calculated by multiplying half the sum of the lengths of the parallel sides by the height.

Calculating the length of a parallel side

The length of the other parallel side can be found by rearranging the formula for the area of a trapezium.

Trapezium Area Example

The area of a trapezium is 20 square centimeters.

Trapezium Area Formula

The area of a trapezium is calculated by multiplying half the sum of the lengths of the parallel sides by the height.

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Finding the Length of a Parallel Side

The length of the other parallel side is 5 units.

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Trapezium Area Example

The area of the trapezium is 16 square centimeters.

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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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