Distributive Property Area of Two Rectangles

Look at the area model. Which equation shows the total area of the model?

• (3 x 4) x (3 x 2) = 72 squares

• (3 + 4) x (3 + 2) = 35 squares

• (3 x 2) + (6 x 3) = 24 square units

• ( 3 x 4) + (4 x 2) = 20 square units

Tags

CCSS.3.MD.C.7D

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

Tags

CCSS.3.MD.C.7D

Sue divided the area model as shown. What is the total area of the model?

• 4 square units

• 5 square units

• 6 square units

• 10 square units

Tags

CCSS.4.NBT.B.5

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

Tags

CCSS.3.OA.B.5

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)

Tags

CCSS.3.OA.B.5

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)

Tags

CCSS.6.NS.B.4

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

• 10 + 6

• 5(3 + 2)

• 2(5 + 3)

• 3(5 + 2)

Tags

CCSS.6.NS.B.4

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.

Tags

CCSS.6.NS.B.4

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

• 3(4 + 4)

• 9 + 12

• 12 + 12

• 4(3 + 3)

Tags

CCSS.6.NS.B.4

Which area model shows this equation?

5 x (2 +3) = (5 x 2) + (5 x 3)

• 
• 
• 
• 

Tags

CCSS.4.NBT.B.5