Calculating Areas of Rectangles and Figures

This video tutorial covers the concept of calculating the area of combined rectangles using the distributive property. It provides examples with yellow and green rectangles, demonstrating how to break them into smaller parts to find the total area. The tutorial also includes practical applications, such as calculating the area of Mr. Lee's backyard and Alicia's bedroom, emphasizing the importance of understanding the problem and ensuring complete rectangles. The lesson concludes with a preview of the next topic on perimeter.

What is the main topic discussed in lesson 11.8?

• Perimeter of circles

• Surface area of spheres

• Area of combined rectangles

• Volume of cubes

How can we find the total area of a figure?

• By multiplying the lengths

• By subtracting the widths

• By adding the perimeters

• By breaking it into smaller rectangles and adding their areas

In the yellow rectangle example, what is the total area?

• 32 square units

• 28 square units

• 40 square units

• 20 square units

What is the area of the green rectangle after using the distributive property?

• 54 square inches

• 45 square inches

• 50 square inches

• 60 square inches

How do identical figures yield the same total area?

• By having the same color

• By being broken apart in different ways

• By being broken apart in the same way

• By having different dimensions

What is the total area of the figure broken into three rectangles?

• 35 square centimeters

• 50 square centimeters

• 40 square centimeters

• 48 square centimeters

In Mr. Lee's backyard problem, how much more area is grass than barbecue?

• 56 square feet

• 68 square feet

• 24 square feet

• 12 square feet

What is the total area of Alicia's bedroom including the closet?

• 12 square meters

• 20 square meters

• 17 square meters

• 15 square meters

How do you use the distributive property to find the area of a figure?

• By adding the perimeters

• By subtracting the lengths

• By using the same factor in both equations

• By dividing the figure into circles