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

Question

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

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

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:

$7\times(4+5)$

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

$(7\times4)+(7\times5)=$

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

$28+35=63$