Calculating Areas of Parallelograms, Triangles, and Trapezoids

In this video, Carlton's Math Corner continues the study of areas of triangles, trapezoids, and parallelograms. The video begins with a review of calculating the area of a triangle, emphasizing the flexibility of the formula. It then transitions to trapezoids, explaining their properties and how they differ from parallelograms. The video provides a detailed walkthrough of the formula for calculating the area of trapezoids, including examples and practice problems to reinforce learning.

What is the area of a triangle with a base of 14 and height of 10?

• 35

• 70

• 140

• 280

How many sets of parallel sides does a trapezoid have?

• Two

• None

• One

• Three

What operation is performed first when calculating the area of a trapezoid?

• Multiplication

• Addition

• Division

• Subtraction

What is the formula to calculate the area of a trapezoid?

• 1/2 * (Base1 + Base2) * Height

• Base1 * Base2 * Height

• 1/2 * Base1 * Base2 * Height

• (Base1 + Base2) * Height

Can the height of a trapezoid be a diagonal line?

• Only if it is perpendicular

• Yes

• Only if it is horizontal

• No

If the bases of a trapezoid are 21 and 41, and the height is 18, what is the area?

• 1122

• 279

• 1116

• 558

What is the area of a trapezoid with bases 15 and 23, and height 9?

• 114

• 228

• 171

• 342

In a trapezoid calculation, if one base is 5 and the total of the other three sides is 12, what is the sum of the bases?

• 7

• 5

• 17

• 10

What is the final step in calculating the area of a trapezoid?

• Square the result

• Add the bases

• Multiply by the height

• Divide by two

If the height of a trapezoid is the side of a square and measures 5, what is the area if the sum of the bases is 17?

• 8.5

• 42.5

• 85

• 170