Final answer:
The skin layer containing areolar connective tissue is the papillary layer of the dermis, which lies between the epidermal layer and the hypodermis.
Step-by-step explanation:
The skin layer that contains areolar connective tissue is the papillary layer. This layer is a component of the dermis, which is situated between the epidermal layer of the skin and the hypodermis. The papillary layer contains loose connective tissue that extends into the epidermis and is known for its collagen and elastin fibers, which provide the skin with elasticity and strength. Therefore, the answer to the question is 'A hypodermal'.