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To accommodate the rapid growth of Covid - 19 cases in Zambales, the local government units were instructed to set up more isolation rooms at their quarantine facilities. As a result, the Villalobos family of Castillejos, Zambales chose to donate their vacant lot beside the quarantine facility for the purpose of expanding the facility. The donated vacant lot has dimensions of 36 meters x 24 meters. Assume that you are the municipal engineer in charge of creating the floor plan for the new isolation rooms under the following conditions: 1. The length of each room is 2 meters longer than its width. 2. The area is no more than 35 square meters. 3. There should be a pathway for the isolation rooms. With these conditions, what are the possible dimensions and area of each room? What is the maximum number of patients that can be accommodated in the new isolation rooms?
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