BC = 62 +4,
AC = 52, and
AB = 4x + 8,

By seeing the digram we came to know:
[tex]AC=BC+AB[/tex]
To find the value of x:
Step 1:
→[tex]52 = 6x + 4 + 4x + 8[/tex]
Step 2:
→[tex]52 = 10x + 12[/tex]
Step 3:
→[tex]10x = 52 - 12[/tex]
Step 4:
→[tex]10x = 40[/tex]
Step 6:
→[tex]x = \dfrac{40}{10} [/tex]
Step 7:
→[tex]x = 4[/tex]
To find value of BC:
Step 1:
•[tex]BC=6x+4[/tex]
Step 2:
•[tex] BC= 6 \times 4 + 4[/tex]
Step 3:
•[tex] BC= 24 + 4[/tex]
Step 4:
•[tex] BC= 28✓[/tex]