Distributive Property Area of Rectangles

a way to represent multiplication where 4 numbers in rectangles are added to get the product

• multiples

• area model

• Distributive property of multiplication

• Partial Product

breaking a large fact into 2 smaller facts that can be added together

• expression

• area model

• Distributive property of multiplication

• Product

The area model shown is made up of 2 smaller shaded rectangles. Which equation represents the total area of the area model? Select TWO answers.

• (2 + 3) + (5 + 3) = 13

• (2 x 3) + (5 x 3) = 21

• 3 x (2 + 5) = 21

• (2 x 3) x (7 x 3) = 27

Look at the rectangle. Select the TWO expressions that can be used to find the area of the rectangle.

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Which example of the distributive property matches the model?

• 5 x 6 = (4 x 6) + (1 x 6)

• 9 x 6 = (5 x 6) + (4 x 6)

• 9 x 6 = (5 x 4) + (4 x 4)

• 8 x 6 = (5 x 6) + (4 x 6)

Which of the following expressions represents the total area of the rectangle?

• 5(2 + 3)

• 3(2 + 5)

• 2(3 + 5)

• 2(3) + 3(5)

Which of the following expressions represents the total area of the rectangle?

• 10 + 6

• 5(3 + 2)

• 2(5 + 3)

• 3(5 + 2)

Michael is helping his friend Ava paint a rectangular wall. The wall is divided into two sections, one with a width of 3 meters and the other with a width of 5 meters. The height of the wall is 2 meters. Which of the following expressions represents the total area of the wall?

• 5(2 + 3)

• 3(2 + 5)

• 2(3 + 5)

• 2(3) + 3(5)

Answer explanation

The total area of a rectangle is calculated as length times width. Here, 2(3 + 5) correctly represents the area, where 2 is one dimension and (3 + 5) is the other dimension, summing the lengths.

Which of the following expressions represents the total area of the rectangle?

• 3(4 + 4)

• 9 + 12

• 12 + 12

• 4(3 + 3)

Dayron wanted to create a play yard for his puppies. What is the area of the play yard for Dayron’s puppies? (Tip: Use the Break-Apart Strategy, also known as the Distributive Property).

• 36 square yards

• 48 square yards

• 52 square yards

• 80 square yards