Calculating Areas of Polygons and Shapes

The video tutorial covers finding the area of polygons by dividing them into smaller shapes. It begins with a review of area formulas for rectangles, parallelograms, and triangles. The teacher then demonstrates how to calculate the area of a polygon using two different methods, emphasizing the importance of breaking down complex shapes into simpler ones. The lesson concludes with an example of finding the area of a hexagon, reinforcing the concept of shape division and area calculation.

What is the formula for finding the area of a rectangle?

• Length plus width

• Base times height divided by two

• Length times width

• Base times height

How do you calculate the area of a parallelogram?

• Length plus width

• Base times height

• Base times height divided by two

• Length times width

When finding the area of a triangle, which formula should you use?

• Base times height divided by two

• Base times height

• Length times width

• Length plus width

In the first example, what is the total area of the polygon after dividing it into two rectangles?

• 150 inches squared

• 110 inches squared

• 200 inches squared

• 260 inches squared

What is the purpose of subtracting dimensions in the alternative method?

• To find the perimeter

• To simplify the shape

• To find missing dimensions

• To calculate volume

In the alternative method, what is the total area of the polygon?

• 260 inches squared

• 110 inches squared

• 200 inches squared

• 150 inches squared

What is a polygon with six sides called?

• Hexagon

• Heptagon

• Pentagon

• Octagon

In the hexagon example, what is the area of one of the triangles?

• 12 meters squared

• 6 meters squared

• 24 meters squared

• 36 meters squared

What is the total area of the hexagon after dividing it into simpler shapes?

• 36 meters squared

• 30 meters squared

• 42 meters squared

• 24 meters squared

What is the main strategy for finding the area of complex polygons?

• Measuring all angles

• Calculating the perimeter first

• Dividing into simpler shapes

• Using only triangles