Distributive Property Area of Rectangles

What pair of expressions match the smaller rectangles in Faith's larger array? Count the height and width of the smaller rectangles to determine each expression.

• 3x4 and 3x5

• 3x4 and 3x4

• 4x4 and 4x4

• 4x3 and 4x5

Evan's whole array is 3x8. That can be rewritten as 3 x (4 + 4). Rewrite that into two expressions.

• 3x4 and 3x3

• 3x4 and 4x4

• 3x8 and 3x4

• 3x4 and 3x4

What pair of expressions match the rectangles in Mae's larger array? Count the height and width of the smaller rectangles to determine each expression.

• 2x6 and 4x6

• 2x7 and 3x7

• 2x6 and 3x6

• 2x8 and 3x8

Izzy's whole array is 8x9. That can be rewritten as 8 x (5 + 4). Rewrite that into two expressions.

• (8 x 5) + (8 x 4)

• (8 x 5) + (5 x 4)

• (8 x 4) + (8 x 4)

• (8 + 5) + (8 + 4)

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)

Use the Distributive Property to find the area of the rectangle.

6x7 = (6x5) + (6x2)

=___ square units

Use the Distributive Property to find the area of the rectangle.

7 x 9 = (7x5) + (7x4)

=___ square units

Use the Distributive Property to find the area of the rectangle.

6x9 = (6x5) + (6x4)

=___ square units

I can find 4x8 by breaking up the 8 into 5+3. Which shows the next step in finding the product?

• (4x8) + (4x8)

• (4+5) x (4+3)

• (4x5) + (4x3)

• (4x5) x (5x3)

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

• 9 (10 + 7)

• 9 x 10 + 7

• (10 x 7) x 9

• 9 x 10 x 7