Area Calculations for Trapezoids and Kites

This video lesson covers finding the areas of trapezoids and kites. It begins with an introduction to the topic, followed by an example involving the change in shape of a basketball key. The video analyzes a student's incorrect method for calculating the area of a trapezoid and then demonstrates the correct approach using decomposition into familiar shapes. The lesson also covers finding the area of a kite using a similar decomposition method. Several example problems are provided for practice, and the lesson concludes with a summary and a preview of the next topic.

What was the shape of the European basketball key before 2010?

• Triangle

• Rectangle

• Circle

• Trapezoid

Why is multiplying the base by the height not a valid method for finding the area of a trapezoid?

• It only works for circles

• It ignores the non-parallel sides

• It results in a negative area

• It is only applicable to squares

What additional shapes need to be considered when calculating the area of a trapezoid?

• Pentagons

• Triangles

• Circles

• Hexagons

How do you find the area of a trapezoid using decomposition?

• By dividing the base by the height

• By multiplying the perimeter by the height

• By adding the areas of a rectangle and two triangles

• By subtracting the base from the height

What is the first step in finding the area of a kite?

• Measure its perimeter

• Divide it into four squares

• Decompose it into triangles

• Convert it into a circle

In the kite area example, what was the total area of the kite?

• 400 cm²

• 350 cm²

• 300 cm²

• 250 cm²

What is the area of a trapezoid with a rectangle base of 12 and height of 8, and two triangles with bases of 4?

• 144 cm²

• 96 cm²

• 128 cm²

• 112 cm²