Exploring Area of Composite Figures

The video tutorial covers the concept of composite figures, which are made up of multiple shapes. It reviews the area formulas for parallelograms, triangles, trapezoids, and circles. The tutorial demonstrates how to decompose a composite figure, specifically a pentagon, into simpler shapes to calculate its area. Students are encouraged to practice with a problem involving a rectangle and half a circle, and the video sets up for a second example.

What is a composite figure?

• A shape made from a single type of polygon

• A mathematical formula for calculating area

• A 3D object composed of multiple materials

• A figure made up of two or more shapes

How do you find the area of a composite figure?

• By using a specific formula unique to composite figures

• By decomposing it into simpler shapes and summing their areas

• By adding the areas of its external dimensions

• By multiplying its length by its width

What is the area formula for a parallelogram?

• Height squared

• Base times height divided by two

• Base times height

• Base plus height

How is the area of a triangle calculated?

• Base times height divided by two

• Base times height

• Base plus height

• Base times two

What is the area formula for a trapezoid?

• Base one plus base two divided by height

• Height times base one plus base two

• Base one times base two

• Height times (base one plus base two) divided by two

How do you calculate the area of a circle?

• 2 times Pi times radius

• Pi times radius squared

• Pi times diameter squared

• Pi times radius

What is the area of a rectangle?

• Length times width

• Length plus width

• Length times width divided by two

• Length divided by width

How do you find the area of a square?

• Side times side

• Side plus side

• Side divided by two

• Side squared

In the example, what shapes was the sign decomposed into?

• Two triangles

• Two rectangles

• A rectangle and a triangle

• A rectangle and a circle

For the practice problem, into what shapes should the figure be decomposed?

• Two half circles

• Two rectangles

• A rectangle and a full circle

• A rectangle and half of a circle