Final answer:
To find the value of x, set up an equation using the given information. Solve the equation to find the value of x. The correct option is a) x = 4.
Step-by-step explanation:
To find the value of x, we can set up an equation using the given information:
AC = BD
76cm = 16x + 12cm
Subtract 12cm from both sides:
64cm = 16x
Divide both sides by 16:
x = 4
Therefore, the value of x is 4. So, the correct option is a) x = 4.