Finding Area of Polygons

The video tutorial by Instructor Beats covers the process of finding the area of polygons on a coordinate plane. It begins with an introduction to coordinate planes and the importance of combining knowledge of plotting points and calculating distances. The lesson progresses to graphing a right triangle and calculating its area using the base and height. The tutorial then demonstrates decomposing a pentagon into simpler shapes to find its area. Finally, a real-life application problem is presented, involving the calculation of a park's area using the concepts learned. The video emphasizes the integration of coordinate plane knowledge with area calculation techniques.

What is the main topic of the lesson introduced in the video?

• Understanding the Pythagorean theorem

• Plotting points on a coordinate plane

• Finding the area of polygons on a coordinate plane

• Finding the perimeter of polygons

Which skills are necessary to find the area of a polygon on a coordinate plane?

• Plotting points, finding distances, and understanding area

• Calculating volume, understanding angles, and plotting points

• Using the Pythagorean theorem, plotting points, and finding perimeter

• Finding perimeter, calculating volume, and understanding angles

What shape is formed by the points (0, 2), (0, -6), and (7, -6)?

• Right triangle

• Pentagon

• Rectangle

• Square

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

• Area = side × side

• Area = 1/2 × base × height

• Area = length × width

• Area = base × height

How is the area of a pentagon found in the video?

• By using the Pythagorean theorem

• By decomposing it into a triangle and a rectangle

• By counting the squares inside the pentagon

• By using the formula for a circle

What is the total area of the pentagon after decomposing it into simpler shapes?

• 20 square units

• 28 square units

• 30 square units

• 24 square units

In the real-life application problem, what shape is used to find the area of the park?

• Circle

• Parallelogram

• Rectangle

• Triangle