Step: 1

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

Step: 2

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

Step: 3

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

Step: 4

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

Step: 5

Therefore the correct answer is Figure 1.

Correct Answer is : Figure 1

Step: 1

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

Step: 2

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

Step: 3

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

Step: 4

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

Step: 5

Therefore the correct answer is figure 1.

Correct Answer is : Figure 1

Step: 1

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

Step: 2

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

[Using distributive Property.]

Step: 3

Therefore area = 3(7 + 2).

Step: 4

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

Step: 5

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

Correct Answer is : 3(7 + 2)

Step: 1

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

[By using distributive Property.]

Step: 2

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

[One of the dimensions is same for both the rectangles.]

Step: 3

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

Correct Answer is : 24 square units

Step: 1

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

[By using distributive Property.]

Step: 2

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

[One of the dimensions is same for both the rectangles.]

Step: 3

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

Correct Answer is : 6 sq units

Step: 1

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

Step: 2

Sum up the given rectangles shown below.

[Using distributive Property.]

Step: 3

Therefore total area = 1 × (3 + 2).

Step: 4

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

Step: 5

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

Correct Answer is : 1(3 + 2)

Step: 1

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

Step: 2

Sum up the rectangles as given below.

[Using distributive Property.]

Step: 3

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

Step: 4

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

Step: 5

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

Correct Answer is : 7(4 + 3)

Step: 1

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

Step: 2

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

[One of the dimensions is same for both the rectangles.]

Step: 3

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

[Using distributive Property.]

Step: 4

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

Step: 5

That is (4 × 8) + (4 × 3) = 4(8 + 3).

Correct Answer is : (4 × 8) + (4 × 3)

Step: 1

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

[By Distributive property.]

Step: 2

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

[One of the dimensions is same for both the rectangles.]

Step: 3

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

Step: 4

Therefore the area of shaded rectangle = 3 × 6.

Correct Answer is : 3 × 6

Step: 1

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

Step: 2

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

Step: 3

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

Step: 4

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

[Using distributive Property.]

Step: 5

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

Step: 6

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

[One of the dimensions is same for both the rectangles.]

Correct Answer is : Table 2

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- Distributive Property