Understanding the Area of a Trapezoid

The video tutorial explains how to find the area of a trapezoid on a coordinate plane. It begins with an introduction to the trapezoid area formula, which involves averaging the lengths of the bases and multiplying by the height. The tutorial then demonstrates how to calculate the lengths of the bases and the height using the distance formula, which is an application of the Pythagorean theorem. Finally, it shows how to substitute these values into the formula to find the area of the trapezoid.

What is the formula for the area of a trapezoid?

• Base 1 + Base 2 + Height

• Base 1 * Base 2 * Height

• Average of the bases times the height

• Base 1 - Base 2 + Height

Which segment is identified as Base 1 in the trapezoid?

• Segment OW

• Segment WL

• Segment CL

• Segment CN

How is the length of Base 1 (B1) calculated?

• Using the area formula

• Using the slope formula

• Using the distance formula

• Using the midpoint formula

What is the change in x for Base 1 (B1)?

• 6

• 8

• 4

• 12

What is the length of Base 2 (B2) in terms of square roots?

• 3 square roots of 5

• 5 square roots of 3

• 6 square roots of 5

• 4 square roots of 5

What is the change in y for Base 2 (B2)?

• 3

• 5

• 4

• 6

How is the height (H) of the trapezoid determined?

• By guessing

• Using the distance formula

• By measuring directly from the diagram

• Using the slope formula

What is the final area of the trapezoid?

• 35 square units

• 45 square units

• 40 square units

• 50 square units

What is the change in x for the height (H)?

• 8

• 6

• 2

• 4

What is the significance of the square root of 5 in the calculations?

• It is the length of Base 1

• It is the length of Base 2

• It is the length of the height

• It is a common factor in the lengths of the bases and height