Area and Properties of Polygons

The video tutorial explains how to calculate the area of an irregular polygon by dividing it into simpler shapes: two congruent right triangles and a square. The base and height of the triangles are determined, and their areas are calculated. The square's area is also calculated. The areas of the triangles and the square are then combined to find the total area of the polygon, which is 77 square units.

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

• Measure the angles

• Find the volume

• Break it into simpler shapes

• Calculate the perimeter

Into which shapes is the irregular polygon divided?

• Two circles and a rectangle

• Two triangles and a square

• Two squares and a triangle

• Two rectangles and a circle

What type of triangles are used in the division of the polygon?

• Equilateral triangles

• Scalene triangles

• Isosceles triangles

• Right triangles

How do you identify the base and height of a right triangle?

• They are the longest sides

• They form the right angle

• They are parallel to each other

• They are equal in length

What is the length of the base of the triangles in the problem?

• 3 units

• 4 units

• 6 units

• 5 units

What is the height of the triangles in the problem?

• 6 units

• 8 units

• 7 units

• 5 units

What is the side length of the square in the problem?

• 7 units

• 6 units

• 5 units

• 8 units

How do you calculate the area of a square?

• Multiply one side by itself

• Divide the perimeter by 4

• Add all sides together

• Multiply the base by the height

What does it mean when two triangles are congruent?

• They have the same area but different shapes

• They have the same shape and size

• They have the same perimeter but different areas

• They are mirror images of each other

How can two congruent triangles be combined?

• To form a rectangle

• To form a circle

• To form a larger triangle

• To form a square