Exploring Area of Composite Figures

The video tutorial teaches how to find the area of composite figures by breaking them into simpler shapes like triangles, rectangles, and squares. It provides examples of dividing complex shapes such as hexagons and trapezoids into known polygons to calculate their areas. The tutorial emphasizes using basic area formulas and adding the areas of individual shapes to find the total area of the composite figure.

What is a composite figure?

• A figure made up of circles

• A polygon that can be divided into multiple other polygons

• A figure that cannot be divided

• A 3D shape

Tags

CCSS.1.G.A.2

How can you find the area of a composite figure?

• By using a single formula

• By multiplying its length by width

• By dividing it into simpler shapes and finding their areas

• By measuring it with a ruler

What shapes was the hexagon divided into for area calculation?

• Three triangles

• Two triangles and a rectangle

• Two triangles and a square

• Two rectangles and a triangle

Tags

CCSS.3.MD.C.7D

What is the formula to find the area of a rectangle?

• 1/2 base times height

• Length plus width

• Base times height

• Length times width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you find the area of a triangle?

• Length times width

• Base plus height

• Base times height

• 1/2 base times height

Tags

CCSS.6.G.A.1

What was the total area of the square and triangle composite figure?

• 64 cm squared

• 20 units squared

• 44 cm squared

• 108 cm squared

Tags

CCSS.6.G.A.1

What shapes make up the complex composite figure discussed last?

• A square, a triangle, and a parallelogram

• Two squares and a triangle

• Two triangles and a parallelogram

• A square, a triangle, and a rectangle

Tags

CCSS.1.G.A.2

How do you find the area of a parallelogram?

• Base times height

• 1/2 base times height

• Length plus width

• Length times width

Tags

CCSS.6.G.A.1

What is the area of the square in the complex composite figure?

• 81 inches squared

• 72 inches squared

• 27 inches squared

• 64 cm squared

Tags

CCSS.6.G.A.1

What is the total area of the complex composite figure?

• 180 inches squared

• 108 cm squared

• 20 units squared

• 64 cm squared