In Figure 2, the rectangle is the combined figure of 2 rectangles and the area = (5 × 3) + (5 × 6) = 5(3 + 6).

In Figure 3, the rectangle is the combined figure of 2 rectangles and the area = (5 × 8) + (5 × 1) = 5(8 + 1).

In Figure 4, the rectangle is the combined figure of 2 rectangles and the area= (5 × 3) + (5 × 6) = 5(3 + 6).

In Figure 1, the rectangle is the combined figure of 2 rectangles and the area 5(7 + 2) = (5 × 7) + (5 × 2) .

Therefore the correct answer is Figure 1.

Figure 2 is the combined figure of 2 rectangles and the area = (4 × 4) + (4 × 7) = 4(4 + 7).

Figure 3 will not hold distributive property as it is not a combined rectangle.

Figure 4 is the combined figure of 2 rectangles and the area = (4 × 2) + (4 × 9) = 4(2 + 9).

Figure 1 is the combined figure of 2 rectangles and the area = (4 × 5) + (4 × 6) = 4(5 + 6).

Therefore the correct answer is figure 1.

The areas of each rectangle in the pair of given rectangles = (3 × 7) and (3 × 2)

When we pair up both the rectangles the figure will be as shown below.

Therefore area = 3(7 + 2).

The total area of the new rectangle formed is the same as the sum of the areas of each individual rectangle.

That means, (3 × 7) + (3 × 2) = 3(7 + 2).

We can divide the given figure into two rectangles. We find that one is shaded and the other is unshaded.

Here 4 × 6 is the area of plain rectangle, 4 × 5 is the area of the colored rectangle.

Therefore the area of plain rectangle = 4 × 6 = 24 square units.

We can divide the given figure into two rectangles. We find that one is shaded and the other is unshaded.

Here 2 × 4 is the area of colored rectangle, 2 × 3 is the area of the plain rectangle.

Therefore the area of plain rectangle = 2 × 3 = 6 square units.

The areas of each rectangle in the pair of given rectangles are (1 × 3) and (1 × 2).

Sum up the given rectangles shown below.

Therefore total area = 1 × (3 + 2).

The total area of pair of rectangles is same as the sum of the areas of each individual rectangles.

That means, (1 × 3) + (1 × 2) = 1(3 + 2).

The areas of each rectangle in the pair of given rectangles are (3 × 4) and (3 × 7).

Sum up the rectangles as given below.

Therefore the total area = 3 × (4 + 7).

The total area of pair of rectangles is same as the sum of areas of each individual rectangles.

That means, (3 × 4) + (3 × 7) = 3(4 + 7).

The area of the rectangle from the given figure = 4 × (8 + 3).

To calculate the areas of each rectangle, decompose the given rectangle as shown below.

Now, the areas are (4 × 8) and (4 × 3).

Sum up the two areas to get the total area of the figure.

That is (4 × 8) + (4 × 3) = 4(8 + 3).

Area of the given figure = 3(6 + 4) = (3 × 6) + (3 × 4)

We can divide the given figure into two rectangles. We find that one rectangle is shaded and the other is not shaded.

Area of the shaded rectangle from the above figure is 3 × 6 and the area of the unshaded rectangle is 3 × 4.

Therefore the area of shaded rectangle = 3 × 6.

From the given figure, width of the rectangle is 2 units and the length of the rectangle is (4 + 5).

The area of a rectangle is the product of its length and width.

So the area as product = (4 + 5) 2

Now, decompose the given rectangle into two rectangles as shown below.

To find the area as sum, calculate the area of each rectangle and sum the areas.

That means, area as sum = (2 × 4) + (2 × 5)