How would you express the area of the rectangle using the Distributive Property?
A rectangle with length x plus 5 and width 3.
We can express the area of the rectangle using the distributive property by multiplying the length and width of the rectangle.
The length of the rectangle is x + 5.
The width of the rectangle is 3.
So, the area of the rectangle is (x + 5)(3).
To express the area of the rectangle using the Distributive Property, we need to expand the expression for the length of the rectangle and then multiply it by the width.
The length of the rectangle is given as x plus 5, and the width is 3.
To expand the expression for the length using the Distributive Property, we multiply both terms inside the parentheses by 1:
length = x + 5
Now, we multiply the expanded expression for the length by the width to find the area:
area = (x + 5) * 3
Using the Distributive Property, we can distribute the 3 to each term inside the parentheses:
area = 3x + 15
Therefore, the area of the rectangle with length x plus 5 and width 3 is expressed as 3x + 15.
To express the area of the rectangle using the Distributive Property, we first need to find the expression for the area of the rectangle. The area of a rectangle is given by multiplying its length by its width.
Given that the length of the rectangle is "x plus 5" and the width is 3, we can express the area using the Distributive Property as:
Area = (x + 5) * 3
Now, let's apply the Distributive Property, which states that for any real numbers a, b, and c: a * (b + c) = a * b + a * c.
Using the Distributive Property, we can distribute the 3 to both terms inside the parentheses:
Area = 3 * x + 3 * 5
Simplifying further, we have:
Area = 3x + 15
Therefore, the expression for the area of the rectangle using the Distributive Property is 3x + 15.