Exploring Areas of Quadrilaterals

What defines a shape as a quadrilateral?

• Having two pairs of parallel sides

• Having equal angles

• Having one pair of parallel sides

• Having four sides

Which quadrilateral has one pair of parallel sides?

• Rectangle

• Square

• Trapezium

• Rhombus

How is the area of a parallelogram calculated?

• Base plus height

• Base times height

• Half the base times height

• Base times the diagonal

What transformation is used to explain the area of a parallelogram?

• Doubling the height

• Rotating a triangle

• Sliding a triangle

• Halving the base

How is the area of a kite determined using its diagonals?

• Multiplying the diagonals

• Adding the diagonals

• Half the product of the diagonals

• Double the product of the diagonals

What is the formula for the area of a trapezium?

• Product of the diagonals

• Sum of parallel sides times the height

• 1/2 times the sum of parallel sides times the height

• Half the product of the base and height

Which formula can be used for a rhombus when given diagonals?

• Base times height

• 1/2 times the product of the diagonals

• Length of one side squared

• Sum of the sides

What is the area of a parallelogram with a base of 14 meters and height of 9 meters?

• 45 m²

• 126 m²

• 63 m²

• 252 m²

What is the area of a kite with diagonals 9 meters and 14 meters?

• 45 m²

• 252 m²

• 63 m²

• 126 m²

Calculate the area of a trapezium with parallel sides of 18 m and 38 m, and height 15 m.

• 840 cm²

• 420 cm²

• 210 cm²

• 1260 cm²