Area using distributive property

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 do you find the area of a rectangle?

Back

To find the area of a rectangle, multiply its length by its width. Area = length × width.

Front

What is the area of a rectangle with a length of 6 units and a width of 7 units?

Back

42 square units (6 × 7 = 42).

Front

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

Back

18 square units (3 × 6 = 18).

Front

What does it mean to break down a multiplication problem using the Distributive Property?

Back

It means to split one of the numbers into smaller parts to make the multiplication easier, like 6 × 7 = (6 × 5) + (6 × 2).

Front

What is the area of a rectangle that is divided into two smaller rectangles with dimensions 2x4 and 2x2?

Back

The total area is 12 square units ((2 × 4) + (2 × 2) = 8 + 4 = 12).

Front

Which expression represents the area of a rectangle with dimensions 4 units and 5 units?

Back

20 square units (4 × 5 = 20).

Front

If you have a rectangle with a length of 4 units and a width of 3 units, what is the area?

Back

12 square units (4 × 3 = 12).

Front

What is the total area of a rectangle if it is divided into two parts: 4 square units and 6 square units?

Back

10 square units (4 + 6 = 10).

Front

How can you express the area of a rectangle using the Distributive Property?

Back

You can express it as (length × width1) + (length × width2). For example, (4 × 2) + (4 × 3) for a rectangle with a length of 4 and widths of 2 and 3.