Understanding Composite Shapes and Areas

This lesson explains composite shapes and how to calculate their areas by breaking them into simpler parts. It provides examples using a rectangle and triangle, a half circle and rectangle, and a rectangle with a circle cutout. The process involves using formulas for basic shapes and adding or subtracting areas to find the total area of the composite shape.

What is a composite shape?

• A shape with no area

• A shape made of simpler shapes

• A shape that cannot be divided

• A shape made of only circles

How do you find the area of a composite shape?

• By multiplying all sides

• By subtracting the perimeter

• By dividing the shape into equal parts

• By adding the areas of simpler shapes

In Example 1, what is the area of the rectangle?

• 30 cm²

• 25 cm²

• 20 cm²

• 15 cm²

What is the formula for the area of a triangle?

• Radius²

• Base * Height

• Length * Breadth

• 1/2 * Base * Height

In Example 1, what is the total area of the composite shape?

• 39 cm²

• 45 cm²

• 50 cm²

• 35 cm²

In Example 2, what is the radius of the circle?

• 12.5 cm

• 25 cm

• 10 cm

• 15 cm

How do you find the area of a half circle?

• Divide the area of a full circle by two

• Multiply the radius by two

• Subtract the radius from the diameter

• Multiply the diameter by π

In Example 2, what is the area of the rectangle?

• 700 cm²

• 600 cm²

• 500 cm²

• 400 cm²

What is the total area of the composite shape in Example 2?

• 6500 cm²

• 7000 cm²

• 8000 cm²

• 7453 cm²

In Example 3, what is the diameter of the circle?

• 8 m

• 6 m

• 10 m

• 4 m