Area and Dimensions of Polygons

This video tutorial explains how to find the area of an irregular polygon by dividing it into simpler shapes: two right triangles and a rectangle. The instructor demonstrates how to calculate the area of each shape using appropriate formulas and then combines these areas to find the total area of the polygon. The tutorial emphasizes understanding the process of breaking down complex shapes into simpler components for easier calculation.

What is the first step in finding the area of an irregular polygon?

• Measure the angles

• Calculate the perimeter

• Divide it into simpler shapes

• Find the volume

Which shapes are used to divide the given irregular polygon?

• Two squares and a circle

• Two triangles and a rectangle

• Two circles and a square

• Two rectangles and a triangle

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

• Half of base times height

• Base times height

• Base divided by height

• Base plus height

How is the area of the top triangle calculated?

• Base minus height

• Base plus height

• Half of base times height

• Base times height

What is the area of the top triangle?

• 18 square units

• 27 square units

• 36 square units

• 45 square units

What is the height of the top triangle?

• 9 units

• 6 units

• 12 units

• 3 units

What is the base length of the top triangle?

• 9 units

• 6 units

• 3 units

• 12 units

What is the base length of the bottom triangle?

• 6 units

• 12 units

• 9 units

• 3 units

What is the area of the bottom triangle?

• 12 square units

• 9 square units

• 6 square units

• 15 square units

What is the height of the bottom triangle?

• 9 units

• 12 units

• 6 units

• 3 units