Understanding Areas of Composite Shapes

This video tutorial explains how to find the area of compound shapes by dividing them into simpler shapes like rectangles, triangles, and trapeziums. It covers the necessary formulas and provides step-by-step examples to calculate the area of complex shapes by breaking them down into known shapes. The video concludes with additional resources for further practice.

What is the first step in finding the area of a complex shape?

• Estimate the area visually.

• Divide the shape into smaller, known shapes.

• Calculate the perimeter of the shape.

• Use a ruler to measure the entire shape.

Which of the following is NOT a simple shape with a known area formula?

• Trapezium

• Rectangle

• Circle

• Triangle

In the first example, what is the area of the rectangle part of the shape?

• 15 square centimeters

• 20 square centimeters

• 30 square centimeters

• 25 square centimeters

How do you find the height of the triangle in the first example?

• By adding the base and the height of the rectangle.

• By subtracting the rectangle's height from the total height.

• By dividing the total height by two.

• By measuring it directly.

What is the total area of the shape in the first example?

• 32.5 square centimeters

• 30 square centimeters

• 27.5 square centimeters

• 25 square centimeters

In the second example, what is the area of the rectangle part of the shape?

• 150 square centimeters

• 180 square centimeters

• 160 square centimeters

• 170 square centimeters

How is the average length of a trapezium calculated?

• By subtracting the top length from the bottom length.

• By adding the top and bottom lengths.

• By multiplying the top and bottom lengths.

• By adding the top and bottom lengths and dividing by two.

What is the total area of the shape in the second example?

• 205 square centimeters

• 215 square centimeters

• 200 square centimeters

• 210 square centimeters

What is the purpose of the video tutorial?

• To teach how to draw complex shapes.

• To explain how to find the area of composite shapes.

• To demonstrate how to measure shapes accurately.

• To show how to calculate the perimeter of shapes.

Where can students find additional practice resources?

• By subscribing to the channel.

• On the live past paper website.

• In the video description.

• In the comments section.