Question 1 - Minimize Perimeter / 10 marks A three-sided fence is to be built next to a straight section of the Aterno-Pescara river, which forms the fourth side of a rectangular region, as shown in the diagram. The enclosed area is to equal 1800 m and the fence running parallel to the river must be set back at least 20 m from the river. Determine the minimum perimeter of such an enclosure and the dimensions of the corresponding enclosure. Question 2 - Shortest Time / 10 marks Holokai is a small Island 5 km north of Birch Point, located along a straight shoreline. A triathlete, Melia, is camped at a spot on the shore that is 12 km west of Birch Point and she needs to go to the island. Melia can run at a rate of 8km/h and can swim at a rate of 3km/h. How far should Melia run (along the shoreline) before swimming to reach the island in the shortest amount of time