Answer:
[tex]x = 2.5[/tex]
Step-by-step explanation:
The perimeter of a square is:
[tex]P = 4s[/tex]
[tex]s[/tex] is the side's length and [tex]P[/tex] is the perimeter
[tex]s = 4x + 12[/tex]
[tex]P = 4s \\P = 4(4x + 2) \\P = 16x + 8\\48 = 16x + 8[/tex]
add [tex]-8[/tex] to both sides
[tex]48 - 8 = 16x + 8 -8 \\40 = 16x \\[/tex]
divide both sides by [tex]16[/tex]
[tex]\frac{16x}{16}[/tex] [tex]= \frac{40}{16}[/tex]
[tex]x = \frac{40}{16} \\x = \frac{5}{2} \\x = 2.5[/tex]
