ABCD is a quadrilateral such that \[AB=BC,\] \[AD=\frac{1}{2}CD\] and \[AD=\frac{1}{4}AB\]. If \[BC=12\text{ }cm,\]what is the measure of AD?

• A. \[6\,cm\]
• B. \[4\,cm\]
• C. \[12\,cm\]
• D. \[3\,cm\]