Area using the 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 x width.

Front

What does the area model represent?

Back

An area model visually represents multiplication and helps to understand how to break down numbers into smaller parts.

Front

What is the total area of a rectangle with a length of 3 units and a width of 4 units?

Back

The total area is 3 x 4 = 12 square units.

Front

If you have a rectangle divided into two smaller rectangles, how can you find the total area?

Back

Add the areas of the two smaller rectangles together.

Front

What is the equation for the area of a rectangle with dimensions 5 units and 3 units?

Back

The equation is 5 x 3 = 15 square units.

Front

What does (a + b) x c equal using the Distributive Property?

Back

It equals a x c + b x c.

Front

If a rectangle has an area of 20 square units and a width of 4 units, what is the length?

Back

The length is 20 ÷ 4 = 5 units.

Front

What is the area of a rectangle with dimensions 6 units and 2 units?

Back

The area is 6 x 2 = 12 square units.

Front

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

Back

You can express it as length x (width1 + width2) = (length x width1) + (length x width2).