In this video tutorial, students learn how to find the area of polygons by breaking them into simpler shapes like triangles and parallelograms. The teacher provides three examples, demonstrating how to calculate the area of each shape and then sum them to find the total area of the polygon. The lesson emphasizes using formulas for area calculation and understanding the properties of different shapes.

What is the essential question for today's lesson on polygons?

• How to find the perimeter of a polygon?

• How to identify different types of polygons?

• How to find the area of a polygon by breaking it into simpler shapes?

• How to calculate the volume of a polygon?

In the first example, what two shapes is the polygon divided into?

• A triangle and a parallelogram

• A rectangle and a triangle

• Two parallelograms

• Two triangles

What is the formula used to calculate the area of a parallelogram?

• Area = base + height

• Area = base x height

• Area = 1/2 x base x height

• Area = base x height x 2

How is the base of the triangle determined in the first example?

• By adding the base of the parallelogram

• By subtracting the used base from the total base

• By measuring directly

• By doubling the base of the parallelogram

In the second example, what is the base of the triangle?

• 6 inches

• 5 inches

• 4 inches

• 3 inches

What is the final area of the polygon in the second example?

• 20 inches squared

• 24 inches squared

• 12 inches squared

• 32 inches squared

In the third example, what is the total length of the base of the first parallelogram?

• 8 cm

• 10 cm

• 6 cm

• 4 cm

How is the height of the second parallelogram determined in the third example?

• By doubling the height of the first parallelogram

• By adding the heights of both parallelograms

• By subtracting the used height from the total height

• By measuring directly

What is the total area of the polygon in the third example?

• 30 cm squared

• 42 cm squared

• 24 cm squared

• 12 cm squared

What is the main method used to find the area of polygons in this lesson?

• By estimating

• By breaking them into simpler shapes

• By using a calculator

• By measuring directly