Answer:
An expression to represent the length of the side of the square with an area of 4x^2+12x+9 in terms of x is 2x + 3
Step-by-step explanation:
all sides of a square are equal in length.
area of a square is the side length squared.
area a, side s, variable x.
a = 4x^2 + 12x + 9. s = ? x = ?
a = s^2.
a = 4x^2 + 12x + 9.
4x^2 + 12x + 9 = s^2.
x^2 + 3x + 9/4 = (s^2)/4.
factor x^2 + 3x + 9/4 = (s^2)/4.
(x + 3/2)(x + 3/2) = (s^2)/4.
(x + 3/2)^2 = (s^2)/4.
√((x + 3/2)^2) = √((s^2)/4).
take positive root.
x + 3/2 = s/2
solve for side s.
s/2 = x + 3/2
s = 2x + 3
