Understanding the Area of a Trapezoid

The video tutorial explains how to calculate the area of a trapezoid, a quadrilateral with one pair of parallel sides. It introduces the formula for the area, assigns values to the trapezoid's dimensions, and demonstrates the calculation process. The tutorial also covers simplifying the calculation by identifying common factors, leading to the final area result of 216 square meters.

What is a trapezoid?

• A triangle with one pair of parallel sides

• A polygon with no parallel sides

• A quadrilateral with one pair of parallel sides

• A quadrilateral with two pairs of parallel sides

Which formula is used to calculate the area of a trapezoid?

• A = 1/2 * (b1 + b2) * h

• A = b1 * b2 * h

• A = b * h

• A = (b1 + b2) / 2 * h

What is the value of b1 in the given trapezoid?

• 21 meters

• 12 meters

• 15 meters

• 18 meters

What is the height of the trapezoid?

• 12 meters

• 18 meters

• 21 meters

• 15 meters

What is the sum of the parallel sides b1 and b2?

• 40 meters

• 30 meters

• 32 meters

• 36 meters

How is the expression 36 meters simplified before multiplication?

• Written as 3 times 12 meters

• Written as 2 times 18 meters

• Written as 4 times 9 meters

• Written as 6 times 6 meters

What common factor is identified between the numerators and denominators?

• Five

• Two

• Four

• Three

What does the simplification of two over two result in?

• Three

• One

• Two

• Zero

What is the final area of the trapezoid?

• 216 square meters

• 180 square meters

• 240 square meters

• 200 square meters

Why is it important to leave units in the final product?

• To ensure the calculation is correct

• To remind us that the result is in square meters

• To make the calculation easier

• To avoid errors in addition