Calculating Areas of Shapes

This lesson covers the calculation of the area of shaded regions in geometric shapes. It begins with an introduction to the concept of area and perimeter, focusing on shaded regions. The lesson explains the steps to calculate the area of shaded regions by finding the area of the main shape and subtracting the area of the secondary shape. Several examples are provided, including a square inside a square, a rectangle and a triangle, and a square and a circle. Each example demonstrates the process of calculating the shaded area using different geometric shapes.

What is the main focus of today's lesson?

• Perimeter of polygons

• Area of shaded regions

• Volume of 3D shapes

• Area and perimeter of circles

How do you find the area of a shaded region?

• Multiply the areas of all shapes

• Divide the area of the outer shape by the inner shape

• Add the areas of all shapes

• Subtract the area of the inner shape from the outer shape

In the example with two squares, what is the side length of the larger square?

• 10 units

• 8 units

• 5 units

• 12 units

What is the area of the smaller square in the example with two squares?

• 40 units squared

• 25 units squared

• 30 units squared

• 35 units squared

How do you calculate the shaded area in the example with two squares?

• Divide the area of the larger square by the smaller square

• Multiply the areas of both squares

• Subtract the area of the smaller square from the larger square

• Add the areas of both squares

In the example with a rectangle and a triangle, what is the base length of the triangle?

• 7 cm

• 5 cm

• 4 cm

• 6 cm

What is the height of the triangle in the rectangle and triangle example?

• 3 cm

• 4 cm

• 5 cm

• 6 cm

How is the area of the rectangle calculated in the rectangle and triangle example?

• Side squared

• Base times height

• Pi times radius squared

• Length times width

In the example with a square and a circle, what is the formula used for the area of the circle?

• Length times width

• Base times height

• Pi times radius squared

• Side squared

What is the area of the square in the square and circle example?

• 75 units squared

• 100 units squared

• 125 units squared

• 50 units squared