This paper considers the problem of resource allocation in an integrated sensing and communication (ISAC) system, as the the two applications form a converse relationship, between the communication efficiency and the sensing accuracy. We propose traditional design strategies that isolate the two distinctive procedures, either in time or in space, to demonstrate the inherit trade-off of the design process. In addition, we utilize an extended automated request (e-ARQ) procedure to augment the design strategies into an adaptive resource allocation protocol, demonstrating the degrees of freedom offered by the e-ARQ procedure. In that sense, the e-ARQ generates a feedback channel, evaluating the quality of the sensing application, thus motivating possible modifications on the current state of the ISAC system. Specifically, the proposed adaptive strategy assesses the reliability of current detections -and takes advantage of prior successful detections- to enhance the sensing capabilities, while it avoids unnecessarily obstructing the communication process. As we show, with an e-ARQ procedure, the sensing accuracy and the communication performance are jointly improved.