Finding Area of Polygons

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 solving for unknown dimensions.

What is the essential question for this lesson on polygons?

• How to identify different types of polygons?

• How to calculate the volume of polygons?

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

• How to find the perimeter of polygons?

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

• Two parallelograms

• A triangle and a parallelogram

• A rectangle and a triangle

• Two triangles

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

• Area = base x height x 2

• Area = base + height

• Area = base x height

• Area = 1/2 x base x height

How do you find the base of the triangle in the first example?

• By doubling the base of the parallelogram

• By dividing the base of the parallelogram by two

• By subtracting the used base from the total base

• By adding the base of the parallelogram

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

• 6 inches

• 3 inches

• 5 inches

• 4 inches

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

• 24 inches squared

• 42 inches squared

• 20 inches squared

• 32 inches squared

In the third example, how many parallelograms are used?

• Four

• Three

• One

• Two

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

• 42 centimeters squared

• 24 centimeters squared

• 12 centimeters squared

• 30 centimeters squared

What is the purpose of breaking polygons into simpler shapes?

• To make them look more complex

• To easily calculate their perimeter

• To change their dimensions

• To simplify the process of finding their area

What is the final step in finding the area of a polygon after calculating the areas of simpler shapes?

• Divide the areas

• Subtract the areas

• Multiply the areas

• Add the areas