What is the area of a rectangle that has a length of 12x and a width of (x + 3)?

(12x)(x+3) = 12x^2 + 36x

Geometry and algebra??

To find the area of a rectangle, we can use the formula A = length × width. In this case, the length is given as 12x and the width as (x + 3).

To get the area, we'll replace the variables with their given values and simplify the expression accordingly.

A = (12x) × (x + 3)

First, we'll distribute 12x to (x + 3):

A = 12x × x + 12x × 3

Next, we'll simplify the expression:

A = 12x^2 + 36x

Therefore, the area of the rectangle with a length of 12x and a width of (x + 3) is 12x^2 + 36x.