Understanding the Area of a Trapezoid

The video tutorial explains how to find the area of a trapezoid, a quadrilateral with one pair of parallel sides. The formula for the area is given as height multiplied by the sum of the two bases, divided by two. The video provides two example problems, demonstrating the step-by-step process of applying the formula. It emphasizes the importance of using the correct height, which is perpendicular to the bases, and warns against using diagonal measurements. The tutorial concludes with a call to action for viewers to like and subscribe.

What is a defining characteristic of a trapezoid?

• It has no parallel sides.

• It has equal sides.

• It has only one pair of parallel sides.

• It has two pairs of parallel sides.

Which of the following is the correct formula for the area of a trapezoid?

• Area = base1 * base2 * height

• Area = height * (base1 + base2) / 2

• Area = (base1 + base2) / height

• Area = base1 + base2 * height

In the formula for the area of a trapezoid, what do base1 and base2 represent?

• The non-parallel sides

• The height of the trapezoid

• The parallel sides

• The diagonal sides

In the first example, what is the sum of base1 and base2?

• 12

• 17

• 19

• 22

What is the final area calculated in the first example?

• 34.5

• 119

• 59.5

• 85

In the second example, why can't the diagonal labeled 7 cm be used as the height?

• It is longer than the bases.

• It is not labeled correctly.

• It is not perpendicular to the bases.

• It is too short.

What is the sum of base1 and base2 in the second example?

• 35

• 25

• 20

• 30

What is the final area calculated in the second example?

• 87.5

• 50

• 75

• 62.5

What is the importance of squaring the final result in the area calculation?

• To convert the units to meters

• To make the calculation easier

• To ensure the result is positive

• To represent the area in square units

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