Area and Properties of Shapes

The lesson covers the area of polygons through composition and decomposition. It explains the properties of polygons, focusing on hexagons and octagons, and demonstrates how to calculate their areas using different methods. The teacher uses examples and exercises to illustrate the concepts, emphasizing the importance of understanding dimensions and applying known formulas.

What is a polygon?

• A figure with only two sides

• A closed figure with straight sides

• A shape with curved sides

• A shape with no sides

What is the formula for the area of a parallelogram?

• Base divided by height

• Base minus height

• Base plus height

• Base times height

How many sides does a hexagon have?

• Seven

• Six

• Five

• Eight

In the hexagon example, what was the length of side DC?

• 8 units

• 13 units

• 10 units

• 2 units

How many rectangles were used to divide the octagon in the example?

• Five

• Four

• Two

• Three

What is the total area of the stage in the octagon example?

• 51 m²

• 45 m²

• 60 m²

• 55 m²

What is the base of the large rectangle in the alternative area calculation method?

• 3

• 5

• 9

• 7

What is the area of the small rectangle in the alternative method?

• 9 m²

• 12 m²

• 15 m²

• 18 m²

Which strategy can be used to find the area of irregular shapes?

• Multiplication only

• Decomposition and addition

• Only subtraction

• Only addition

What is one method to find the area of a trapezoid?

• Divide it into two triangles

• Multiply the base by the height

• Subtract the base from the height

• Add the base and height