Finding Area: Decomposing and Summing Figures

This lesson teaches how to find the area of a figure by decomposing it into smaller rectangles and summing their areas. The video covers the basic formula for area, A = l × w, and demonstrates calculations using different units such as feet and centimeters. Examples include decomposing shapes into rectangles and calculating the total area by adding the areas of individual rectangles. The lesson concludes with a practical example of finding the area of a dog pen.

What is the area of a rectangle with a length of 4 feet and a width of 3 feet?

• 7 square feet

• 12 square feet

• 15 square feet

• 9 square feet

If a shape is divided into two rectangles, one measuring 5 units by 4 units and the other 4 units by 2 units, what is the total area?

• 26 square units

• 32 square units

• 30 square units

• 28 square units

How do you calculate the area of a shape that is 6 cm by 4 cm and another part that is 3 cm by 3 cm?

• 36 square centimeters

• 33 square centimeters

• 30 square centimeters

• 27 square centimeters

What is the area of a dog pen if it is decomposed into parts measuring 7 feet by 5 feet and 3 feet by 3 feet?

• 44 square feet

• 40 square feet

• 46 square feet

• 42 square feet

When decomposing a shape into smaller rectangles, what is the next step after calculating the area of each rectangle?

• Subtract the areas

• Divide the areas

• Multiply the areas

• Add the areas