Area of Compound Shapes and Formulas

This video tutorial explains how to find the area of compound shapes by breaking them into smaller, simpler shapes. It covers various examples, including L-shaped figures, combinations of rectangles and triangles, and solving for unknown lengths. The tutorial also includes a practical example involving calculating the area of a field to determine how many chickens it can accommodate. Key formulas for calculating the area of rectangles, triangles, and circles are discussed, along with strategies for accurately measuring dimensions.

What is the formula for the area of a rectangle?

• Length x Width x Height

• Length x Width

• Length + Width

• 2 x (Length + Width)

How do you find the area of a compound shape?

• Multiply all sides together

• Add the perimeters of all shapes

• Split into smaller shapes, find each area, then add them

• Subtract the smallest area from the largest

In the L-shaped example, what is the area of the first rectangle?

• 30 cm²

• 45 cm²

• 75 cm²

• 60 cm²

What is the total area of the L-shaped compound shape?

• 75 cm²

• 90 cm²

• 60 cm²

• 45 cm²

How is the area of a triangle calculated?

• Base x Height

• Base x Height / 2

• Base + Height

• 2 x (Base + Height)

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

• 6 cm²

• 8 cm²

• 4 cm²

• 10 cm²

If the total area of a compound shape is 125 cm² and one part is 77 cm², what is the area of the other part?

• 48 cm²

• 52 cm²

• 60 cm²

• 58 cm²

In the missing length example, what is the value of x if the area of the rectangle is 48 cm² and the width is 6 cm?

• 8 cm

• 7 cm

• 6 cm

• 9 cm

How many chickens can be kept in a field with an area of 388 m² if each chicken needs 5 m²?

• 76

• 78

• 80

• 82

What is the total area of the field in the real-world example?

• 280 m²

• 300 m²

• 388 m²

• 400 m²