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.