Calculate Rectangle Area: Using Distributive Property with (4+5) × 7

Calculate the area of the rectangle below using the distributive property.

4+54+54+5777

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Step-by-step video solution

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00:00 Calculate the rectangle's area using the distributive law
00:03 We'll use the formula for calculating rectangle area (side times side)
00:07 We'll substitute appropriate values according to the given data and solve for the area
00:14 We'll properly open the parentheses - 7 will multiply each factor
00:28 We'll calculate each multiplication separately and then add
00:39 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Calculate the area of the rectangle below using the distributive property.

4+54+54+5777

2

Step-by-step solution

The area of the rectangle is equal to the length multiplied by the width.

We begin by writing the exercise according to the existing data:

7×(4+5) 7\times(4+5)

We then solve the exercise by using the distributive property, that is, we multiply 7 by each of the terms inside of the parentheses:

(7×4)+(7×5)= (7\times4)+(7\times5)=

Lastly we solve the exercise inside of the parentheses and obtain the following:

28+35=63 28+35=63

3

Final Answer

63

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\( 140-70= \)

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