Understanding the Area of a Trapezoid

The video tutorial explains how to find the area of a trapezoid using the formula: one half of the sum of the two bases multiplied by the height. It begins with an introduction to the formula and its derivation by transforming a trapezoid into a rectangle. The tutorial then provides a step-by-step calculation using example values, followed by an advanced example involving different base and leg lengths. The video emphasizes understanding the formula's origin to solve problems effectively.

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

• Add the bases and multiply by the height

• Multiply the bases together

• Subtract the smaller base from the larger base

• Add the bases, divide by two, then multiply by the height

What is the significance of the height in a trapezoid?

• It is the average of the bases

• It is parallel to the bases

• It is perpendicular to the bases

• It is the same as the side length

How is the trapezoid transformed into a rectangle?

• By extending the bases

• By changing the height

• By rotating a triangle

• By adding a new base

What is the mid-segment in the context of a trapezoid?

• The height of the trapezoid

• The average of the two bases

• The longest side of the trapezoid

• The sum of the two bases

In the example given, what is the area of the trapezoid with bases 12 and 16, and height 10?

• 180

• 160

• 140

• 120

What is the mid-segment length when the bases are 12 and 16?

• 12

• 14

• 18

• 16

In a 30-60-90 triangle, how do you find the short leg?

• Multiply the hypotenuse by √3

• Divide the hypotenuse by 2

• Divide the hypotenuse by √3

• Multiply the hypotenuse by 2

What is the height of the trapezoid in the advanced example?

• 4√3

• 4

• 2√3

• 2

How do you calculate the area of a trapezoid using the mid-segment?

• Multiply the mid-segment by the height

• Add the mid-segment to the height

• Subtract the mid-segment from the height

• Divide the mid-segment by the height

What is the final area of the trapezoid in the advanced example?

• 28√3

• 28

• 14√3

• 14