Exploring the Area of a Trapezoid

What is the formula for the area of a rectangle?

• Area = 2(base + height)

• Area = (base x height) / 2

• Area = base x height

• Area = base + height

How can a rectangle be transformed into a parallelogram?

• By extending one of its sides

• By rearranging its area

• By changing the angle between base and height

• By cutting and rearranging

In the context of the video, what does the 'star reference sheet' refer to?

• A guide for navigating stars

• A list of top students

• A cheat sheet for exams

• A reference for geometric formulas

What is the area of a trapezoid with bases of 4 inches and 6 inches, and a height of 3 inches?

• 20 inches squared

• 18 inches squared

• 15 inches squared

• 12 inches squared

What is the significance of cutting a rectangle diagonally to form a trapezoid?

• It reduces the height of the rectangle

• It changes the area of the shape

• It helps in understanding the properties of trapezoids

• It increases the base of the trapezoid

How does the area of a trapezoid compare to the original rectangle it was derived from?

• The area decreases

• The area doubles

• The area increases

• The area remains the same

What is the formula for the area of a trapezoid?

• Area = (base1 + base2) x height

• Area = (base1 x base2) / height

• Area = (base1 + base2) / 2 x height

• Area = base1 x base2 x height

Why do we use different bases (b1 and b2) in the trapezoid area formula?

• To simplify the calculation

• Because all sides of a trapezoid are equal

• To increase the area

• Because the trapezoid has parallel sides of different lengths

What does the 'half' in the trapezoid area formula represent?

• Half the height of the trapezoid

• Half the sum of the bases

• A mistake in the formula

• A division to account for the shape's properties

What is the area of the trapezoid area in the hockey game example?

• 253 square feet

• 150 square feet

• 300 square feet

• 200 square feet