Composite Figures and Trapezoid Areas

The video tutorial covers how to find the area of trapezoids and composite figures. It begins with an introduction to the concepts and vocabulary related to trapezoids and composite figures. The formula for calculating the area of a trapezoid is explained, followed by a discussion on composite figures and how to calculate their area by summing the areas of individual shapes. The tutorial includes example problems for both trapezoids and composite figures, demonstrating step-by-step calculations. Finally, practice problems are provided for students to apply what they've learned.

What is the main objective of the lesson on trapezoids and composite figures?

• To calculate the diagonal of trapezoids.

• To learn how to find the perimeter of trapezoids.

• To understand the concept of volume in composite figures.

• To find the area of trapezoids and composite shapes.

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

• Base1 plus base2

• Length times width

• 1/2 times height times (base1 + base2)

• Base times height

What is a composite figure?

• A figure with only one shape.

• A figure that is three-dimensional.

• A figure made up of triangles, squares, rectangles, and other 2D shapes.

• A figure made up of only circles.

In the first example, what is the height of the trapezoid?

• 20

• 15

• 10

• 5

How do you simplify the expression in the trapezoid area formula?

• By adding the bases together first.

• By multiplying the bases first.

• By subtracting the bases.

• By dividing the height by two first.

What is the area of the trapezoid in the first example?

• 100 feet squared

• 95 feet squared

• 90 feet squared

• 85 feet squared

In the second example, what are the lengths of the bases of the trapezoid?

• 8 and 12

• 7 and 11

• 5 and 10

• 9 and 13

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

• 10

• 9

• 8

• 7

What is the area of the trapezoid in the second example?

• 81 cm squared

• 72 cm squared

• 90 cm squared

• 81 cm squared

What is the first step in finding the area of a composite shape?

• Divide the shape into equal parts.

• Add all sides together.

• Separate it into known shapes.

• Multiply all dimensions together.