How would you express the area of the rectangle using the Distributive Property? A rectangle with length x plus 5 and width 3.
A. 5(x + 3)
B. x(3 + 5)
C. 3(x + 5)
D. 3x + 5

The expression that shows the length and width of the rectangle in distributive format is 3(x + 5) = 3x + 15 and this can be determined by using the distributive property.

Given :

A rectangle with length x plus 5 and width 3.

The distributive property is given by:

a(b + c) = ab + ac

The above expression is known as the distributive property. Where a, b, and c represents the three different variables.

So, according to the given data, the length of the rectangle is (x + 5) and the width of the rectangle is 3.

The expression shows the length and width of the rectangle in distributive format.

3(x + 5) = 3x + 15

The above expression also represents the area of the rectangle.

Therefore, the correct option is C).

For more information, refer to the link given below:

link

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.