Question

Suppose that the area of a square is

9
x
2
+
12
x
+
4
. What is the length of one of the sides of the square?

A.
3
x
+
2
B.
−
3
x
+
2
C.
3
x
−
2
D.
2
x
+
3

Answer 1

A. 3x+2

Explanation:

9x^2 + 12x + 4

can be factored:

(3x+2)(3x+2)

All sides of a square are the same length. The area is two of the sides multiplied together. Thus, (3x+2) must be the length of a side (all sides, actually)

3x+2