Calculating Area Using the Distributive Property

The video tutorial explains how to calculate the area of a rectangle using two methods: multiplying the length by the width and dividing the rectangle into sub-rectangles. It demonstrates the distributive property by showing that the sum of the areas of the sub-rectangles equals the area of the entire rectangle. The tutorial encourages viewers to pause and try both methods, reinforcing the concept with calculations and verifying the results.

What is the first step to calculate the area of a rectangle?

• Divide the length by the width

• Subtract the length from the width

• Add the length and width

• Multiply the length by the width

What mathematical operation is used to find the area of the rectangle?

• Addition

• Subtraction

• Multiplication

• Division

How can the width of the rectangle be expressed in the video?

• 8 + 12

• 8 * 12

• 20 - 8

• 12 / 2

What does the sum of 8 and 12 represent in the context of the rectangle?

• The length

• The width

• The area

• The perimeter

What property is demonstrated by splitting the rectangle into two parts and adding their areas?

• Identity property

• Commutative property

• Distributive property

• Associative property

What is the area of the purple rectangle?

• 20

• 108

• 72

• 180

What is the area of the blue rectangle?

• 20

• 108

• 72

• 180

How does the video demonstrate the distributive property?

• By subtracting the smaller rectangle from the larger

• By adding the areas of sub-rectangles

• By dividing the rectangle into smaller parts

• By multiplying the length by the sum of two widths

What is the total area of the larger rectangle?

• 72

• 108

• 20

• 180

What is the combined area of the purple and blue rectangles?

• 72

• 108

• 180

• 20