Composite Area and Shape Identification

This video tutorial covers lesson 20 on composite area problems. It begins with an essential question about setting up and solving complex area problems. The video skips example one and exercise one, focusing instead on example two, which involves finding the area of a figure composed of a rectangle and a semicircle. The instructor emphasizes the importance of identifying shapes and using the correct formulas before performing calculations. The video also includes exercise two, which involves calculating the area of a shaded region composed of a triangle and a half circle. The tutorial concludes with a brief summary and encourages students to practice independently.

What is the essential question of the lesson on composite area problems?

• How do we calculate the surface area of 3D shapes?

• What is the volume of composite figures?

• How can we find the perimeter of complex shapes?

• How can we set up and solve complex area problems?

In Example 2, what shapes are combined to form the figure?

• A triangle and a semicircle

• A rectangle and a semicircle

• A rectangle and a triangle

• A square and a semicircle

What is the formula for the area of a semicircle?

• πr

• 1/2 πr²

• πr²

• 2πr

When identifying shapes in a complex figure, what is the first step?

• Find the volume

• Multiply the given numbers

• Identify the shapes present

• Calculate the perimeter

How do you determine the height of the rectangle in Example 2?

• By subtracting the radius from the total height

• By dividing the total height by two

• By using the diameter of the semicircle

• By adding the radius to the total height

What is the calculated area of the rectangle in Example 2?

• 28 square meters

• 22 square meters

• 6.28 square meters

• 14 square meters

In Exercise 2, what shapes make up the shaded region?

• A rectangle and a semicircle

• A triangle and a semicircle

• A square and a semicircle

• A triangle and a rectangle

What is the formula for the area of a triangle?

• Base times height

• 1/2 base times height

• Base plus height

• Base minus height

How do you find the base and height of a triangle in Exercise 2?

• By using the diameter of the semicircle

• By measuring the hypotenuse

• By identifying the right angle

• By using the radius of the semicircle

What is the total area of the shaded region in Exercise 2?

• 100 square centimeters

• 56 square centimeters

• 25.12 square centimeters

• 81.2 square centimeters