The perimeter of the square is 16/19x - 36 units, where x is the given side length correct option is b.
Identify the given information
The problem states that a square has a side length of 4/19x - 9 units. We are asked to find the perimeter of the square in terms of x.
Recall the formula for the perimeter of a squareThe perimeter of a square is the total length of all its sides added together. Since all sides of a square are equal, we can simply multiply the side length by 4 to find the perimeter.
Therefore, the formula for the perimeter of a square is:
P = 4s
where P is the perimeter and s is the side length.
Substitute the given side length into the formula
In this case, the side length of the square is given by 4/19x - 9 units. Substituting this into the formula, we get:
P = 4(4/19x - 9)
Expand the parentheses and simplify
Expanding the parentheses, we get:
P = 16/19x - 36
Write the answer in terms of x
The perimeter of the square in terms of x is 16/19x - 36.
Therefore, the correct answer is B. 16/19x - 36.