Calculating Area of Polygons

The video tutorial explains how to determine the area of a polygon by decomposing it into simpler shapes, specifically a rectangle and a triangle. The process involves calculating the area of each shape separately and then summing them to find the total area of the polygon. The tutorial emphasizes the importance of using square units when calculating area and provides a step-by-step guide to ensure understanding.

What is the first step in finding the area of a complex polygon?

• Calculate the perimeter

• Decompose it into simpler shapes

• Measure the angles

• Find the centroid

Into which two shapes is the pentagon divided?

• A square and a triangle

• A circle and a rectangle

• A rectangle and a triangle

• Two triangles

What are the dimensions of the rectangle in the pentagon?

• 9 cm by 7 cm

• 8 cm by 6 cm

• 10 cm by 5 cm

• 7 cm by 7 cm

How do you calculate the area of a rectangle?

• Length times width

• Diameter times radius

• Base times height

• Side squared

What is the area of the rectangle in the pentagon?

• 63 square cm

• 72 square cm

• 49 square cm

• 56 square cm

What are the base and height of the triangle in the pentagon?

• 7 cm and 2 cm

• 8 cm and 1 cm

• 6 cm and 3 cm

• 5 cm and 4 cm

How is the area of a triangle calculated?

• Base times height

• Base times height divided by 2

• Side squared

• Length times width

What is the area of the triangle in the pentagon?

• 6 square cm

• 5 square cm

• 7 square cm

• 8 square cm

What is the total area of the pentagon?

• 60 square cm

• 70 square cm

• 80 square cm

• 90 square cm

Why is it important to use square units when calculating area?

• To correctly represent the two-dimensional space

• To match the perimeter units

• To avoid confusion with volume

• To ensure accuracy