Exploring the Area of Regular Polygons

The video tutorial explains how to find the area of regular polygons by decomposing them into congruent triangles. It covers the properties of regular polygons, such as equal sides and angles, and demonstrates the process using examples of a pentagon, octagon, and hexagon. The tutorial provides formulas for calculating the area of a triangle and shows how to apply these to find the total area of the polygon by multiplying the area of one triangle by the number of triangles.

What defines a polygon as regular?

• It has straight sides only

• It is a closed shape with curved sides

• It has five sides

• All sides and angles are equal

How many congruent triangles make up a regular pentagon?

• 8

• 3

• 5

• 6

What is the formula for the area of a triangle?

• 1/2 x Base x Height

• Base x Height

• Base + Height

• Base / Height

What is the area of a triangle with a base of 30 meters and a height of 18 meters?

• 540 square meters

• 270 square meters

• 15 square meters

• 48 square meters

How do you find the area of a regular polygon?

• Add the area of all triangles

• Multiply the area of one triangle by the number of sides

• Divide the area of one triangle by the number of triangles

• Multiply the area of one triangle by the number of triangles

What is the area of a regular octagon decomposed into triangles with each triangle having an area of 125 square meters?

• 125 square meters

• 100 square meters

• 1000 square meters

• 500 square meters

How many congruent triangles make up a regular octagon?

• 5

• 10

• 6

• 8

What is the area of a regular pentagon with each triangle having an area of 160 square centimeters?

• 320 square centimeters

• 800 square centimeters

• 160 square centimeters

• 480 square centimeters

What is the area of a hexagon decomposed into triangles, with each triangle having an area of 9.88 square meters?

• 59.28 square meters

• 19.76 square meters

• 29.64 square meters

• 9.88 square meters

What is the base and height of the triangle used in the hexagon example?

• 5.2 meters and 3.8 meters

• 10 meters and 25 meters

• 30 meters and 18 meters

• 20 meters and 16 meters