Exploring the Area of a Trapezoid Formula

The video tutorial explains how to derive the formula for finding the area of a trapezoid. It begins by introducing a trapezoid with given dimensions and then duplicates and rotates it to form a parallelogram. The area of the parallelogram is calculated by multiplying the base and height. The tutorial then explains that the area of the trapezoid is half of the parallelogram's area, leading to the trapezoid area formula. The process is broken down into clear steps, making it easy to understand the derivation of the formula.

What are the dimensions of the trapezoid discussed in the video?

• Base 6 cm, Base 10 cm, Height 8 cm

• Base 8 cm, Base 10 cm, Height 6 cm

• Base 10 cm, Base 10 cm, Height 8 cm

• Base 8 cm, Base 8 cm, Height 10 cm

What geometric shape is formed when the trapezoid is duplicated and manipulated?

• Circle

• Rectangle

• Parallelogram

• Square

What is the new base length of the parallelogram formed?

• 18 cm

• 22 cm

• 16 cm

• 20 cm

How is the area of the parallelogram calculated?

• Base divided by height

• Base minus height

• Base plus height

• Base multiplied by height

What is the total area of the parallelogram before dividing?

• 108 square centimeters

• 216 square centimeters

• 54 square centimeters

• 72 square centimeters

How do you find the area of one trapezoid from the parallelogram?

• Divide the area of the parallelogram by 2

• Multiply the area of the parallelogram by 2

• Subtract 2 from the area of the parallelogram

• Add 2 to the area of the parallelogram

What is the area of one trapezoid?

• 27 square centimeters

• 108 square centimeters

• 54 square centimeters

• 81 square centimeters

From the video, what method is used to simplify the area calculation of a trapezoid?

• Using a parallelogram

• Doubling the height

• Tripling the base

• Halving the base