11.7 - Distributive Property in Area

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

How can you use the Distributive Property to find the area of a rectangle?

Back

You can break the rectangle into smaller parts and find the area of each part, then add them together. For example, for a rectangle with length 3 and width 6, you can think of it as (3 x 6) = 18 square units.

Front

What does the expression (1 × 6) + (2 × 6) equal?

Back

It equals 3 × 6, which is 18.

Front

If a rectangle has a length of 3 units and a width of 6 units, what is its area?

Back

The area is 3 × 6 = 18 square units.

Front

What is the Break-Apart Strategy?

Back

The Break-Apart Strategy involves breaking a number into parts to make calculations easier, often used with the Distributive Property.

Front

What is the area of a rectangle with dimensions 4 units by 5 units?

Back

The area is 4 × 5 = 20 square units.

Front

How do you calculate the area of a rectangle using the Distributive Property?

Back

You can express the area as length × width, and if the width is a sum, you can distribute the length across the sum.

Front

What is the total area of a model divided into 2 sections, each with an area of 5 square units?

Back

The total area is 5 + 5 = 10 square units.

Front

What does the equation 5 x (2 + 3) represent?

Back

It represents the Distributive Property, showing that 5 times the sum of 2 and 3 equals the sum of 5 times 2 and 5 times 3.

Front

If you have a rectangle with a length of 6 and a width of 8, what is the area?

Back

The area is 6 × 8 = 48 square units.