Find Area with Distributive Property

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

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

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Look at the rectangle. Select THREE (3) expressions that can be used to find the area of the rectangle.

• (2 × 5) + (2 × 5)

• (4 × 5) + (4 × 2)

• (1 × 5) + (3 × 5)

• (4 × 4) + (7 × 7)

• (3 × 4) + (2 × 4)

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

Which answer shows the distributive property of the array (4X7)?

• ( 4 x 3) + (4 x 3)

• ( 3 x 4) + ( 4 x 3)

• ( 4 x 2 ) + ( 4 x 5)

Which expression is used to find the total area of the figure shown?

• (9 x 10) + (9 x 7)

• 9 x 10 + 7

• (10 x 7) x 9

A rectangle is tiled using unit squares as shown. Which two expressions can be used to represent the area of the rectangle?

• (5 x 4) + (5 x 3)

• (4 x 5) + (4 x 3)

• (5 x 8)

• (4 x 9)

• (4 x 8)

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

Which area model shows this equation?

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

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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