Calculating the Area of Polygons

This video tutorial by Kalei teaches how to find the area of both regular and irregular polygons. For irregular polygons, such as a pentagon, the method involves decomposing the shape into simpler figures like triangles and trapezoids, then calculating their areas separately. For regular polygons, the process involves dividing the shape into congruent triangles and using the apothem to find the area. The tutorial provides formulas and examples for both types of polygons, encouraging viewers to practice through games and quizzes.

What method is used to find the area of an irregular polygon like a pentagon?

• Using a standard formula

• Decomposing into simpler shapes

• Using the Pythagorean theorem

• Calculating directly from side lengths

What shapes is the pentagon decomposed into for area calculation?

• Two triangles

• A triangle and a rectangle

• Two trapezoids

• A triangle and a trapezoid

What is the total area of the pentagon from the example?

• 15 square units

• 25 square units

• 30 square units

• 21 square units

How is the area of a triangle calculated?

• Base minus height

• Base times height

• Base times height divided by two

• Base plus height

What is the area of the trapezoid in the pentagon example?

• 16 square units

• 5 square units

• 10 square units

• 21 square units

What is the first step in finding the area of a regular polygon like a heptagon?

• Calculating the perimeter

• Decomposing into congruent triangles

• Measuring the apothem

• Adding the side lengths

What is the apothem in a regular polygon?

• The perimeter divided by the number of sides

• The distance from the center to a side at a right angle

• The length of a side

• The distance from the center to a vertex

How is the area of a regular polygon calculated using the apothem?

• One-half times the perimeter times the apothem

• Apothem squared times the number of sides

• Perimeter plus apothem

• Perimeter times apothem divided by two

What is the area of the regular hexagon in the example?

• 148 square units

• 178 square units

• 188 square units

• 168 square units

What encourages the practice of area calculation techniques?

• Watching videos only

• Memorizing formulas

• Playing online games and quizzes

• Reading textbooks