Applying the Distributive Property Using Area Models (Part 1)

The video tutorial explains how to calculate the area of rectangles using two methods. The first method involves combining the lengths of two rectangles and multiplying by the width. The second method calculates the area of each rectangle separately and then adds them. Both methods yield the same result, demonstrating the distributive property. The tutorial also shows how to express this property algebraically.

What is the formula used to calculate the area of a rectangle?

• A = l² + w²

• A = l × w

• A = l + w

• A = 2(l + w)

In the first method of calculating the total area of two rectangles, what is the first step?

• Multiply the widths of both rectangles

• Add the lengths of both rectangles

• Subtract the width from the length

• Divide the total length by the width

How do you find the total area using the second method?

• Multiply the total length by the width

• Add the areas of each rectangle

• Subtract the area of one rectangle from the other

• Divide the total area by the number of rectangles

What does the distributive property state?

• A factor multiplied by a sum is equal to the sum of the factors

• A factor multiplied by a sum is equal to the product of the factors

• A factor multiplied by a sum is equal to multiplying that factor by each addend and then adding the products

• A factor multiplied by a sum is equal to the difference of the factors

Which algebraic expression represents the distributive property?

• a + b = c

• a × (b + c) = a × b + a × c

• a × b = b × a

• a - b = b - a