Finding Area of Complex Shapes

This video tutorial teaches how to find the area of complex shapes using subtraction. It begins with a review of rectangle properties and the difference between perimeter and area. The lesson then demonstrates how to calculate the area of a yard by subtracting the area of a doghouse. An example problem is solved, followed by a more advanced example that excludes a swing set and a shed. By the end of the lesson, viewers will understand how to find the area of complex shapes by subtracting smaller areas from a larger one.

What is the main objective of this lesson?

• To measure the volume of a doghouse.

• To understand how to find the area of a complex shape using subtraction.

• To calculate the length of a rectangle's diagonal.

• To learn how to calculate the perimeter of a yard.

Which of the following is true about the opposite sides of a rectangle?

• They are always longer than the adjacent sides.

• They are always perpendicular.

• They are equal in length and parallel.

• They are never equal in length.

What is the difference between perimeter and area?

• Perimeter is the sum of all side lengths, while area is the space inside.

• Perimeter is measured in square units, while area is in linear units.

• Perimeter is always larger than area.

• Perimeter measures the inside, while area measures the outside.

How do you find the area of a yard excluding a doghouse?

• Subtract the area of the doghouse from the total area.

• Divide the total area by the area of the doghouse.

• Multiply the area of the doghouse by the total area.

• Add the area of the doghouse to the total area.

What is the area of a yard with side measurements of 4 yards and 8 yards?

• 16 square yards

• 24 square yards

• 32 square yards

• 12 square yards

If a doghouse has measurements of 2 yards by 3 yards, what is its area?

• 4 square yards

• 8 square yards

• 6 square yards

• 5 square yards

After subtracting the doghouse area from the total yard area, what is the remaining area?

• 26 square yards

• 32 square yards

• 20 square yards

• 28 square yards

What is the first step in finding the area of a yard excluding a swing set and a shed?

• Subtract the area of the swing set from the shed.

• Find the area of the entire shape first.

• Multiply the areas of the swing set and shed.

• Add the areas of the swing set and shed.

What is the area of a swing set with measurements of 2 yards by 3 yards?

• 4 square yards

• 8 square yards

• 5 square yards

• 6 square yards

After removing the areas of the swing set and shed, what is the final area of the yard?

• 72 square yards

• 84 square yards

• 78 square yards

• 90 square yards