Area and Perimeter of Composite Shapes

This video tutorial covers the calculation of area and perimeter for composite plane shapes. It includes three problems: a rectangle with semicircles, two semicircles of different sizes, and a square with semicircles. Each problem is solved step-by-step, demonstrating how to find the area and perimeter by combining or subtracting areas of basic shapes. The tutorial concludes with a summary and additional resources for further learning.

What is the main focus of this tutorial?

• Learning about the Pythagorean theorem

• Finding the area and perimeter of composite plane shapes

• Understanding the properties of triangles

• Calculating the volume of 3D shapes

In Problem 1, what is the diameter of the semicircles?

• 20 cm

• 14 cm

• 10 cm

• 7 cm

How is the area of the composite shape in Problem 1 calculated?

• By subtracting the area of a circle from a rectangle

• By adding the area of a rectangle and two semicircles

• By adding the areas of two rectangles

• By adding the area of a rectangle and a circle

What is the perimeter of the shape in Problem 1?

• 84 cm

• 100 cm

• 120 cm

• 60 cm

In Problem 2, what is the radius of the larger semicircle?

• 7 cm

• 10 cm

• 3.5 cm

• 14 cm

How is the area of the shape in Problem 2 determined?

• By subtracting the area of a smaller semicircle from a larger semicircle

• By adding the areas of two semicircles

• By subtracting the area of a rectangle from a circle

• By adding the area of a square and a semicircle

What is the perimeter of the shape in Problem 2?

• 60 cm

• 50 cm

• 70 cm

• 40 cm

In Problem 3, what is the side length of the square?

• 16 cm

• 12 cm

• 14 cm

• 10 cm

How many semicircles are used in Problem 3?

• Five

• Four

• Three

• Two

What is the perimeter of the shape in Problem 3?

• 140 cm

• 120 cm

• 100 cm

• 88 cm