09:54 Done Photo V Max/Min Area Problems 1. Dave wants to enclose his rectangular hockey rink using 70 m of wooden boards. How should he lay the boards to maximize the total enclosed area? 2. Sarah is building a fence around her backyard. She has 200 m of fence and plans to use the back of her house as one of the sides of the rectangular fenced area. What be? is the maximum area Sarah can enclose? What will the dimensions of her backyard 3. Mike wants to divide his backyard into 4 equal sections using 1200 m of fence. What is the maximum area he can enclose and how big is each section going to be? 4. The Environment Group wants to designate an area as a natural habitat. One side of the rectangular-shaped area is a large lake. Not including this side, the group is allowed to have the remaining 3 sides total 48 km. What dimensions will ensure a maximum area for the natural habitat? 5 : Matt won the lottery and bought a lakeside house. He would like to put a fence around the yard. The long side of the property is water, and the house takes up half of the opposite side. He wants his fence to go along the two short sides and meet up with his house on the long side. He has 600 m of white picket fence. What dimensions will maximize Matt's backyard? Answers 3. 36 000m , 120 m x 75 m 2. 5000 m, 50 m x 100 m 1. 17.5 m x 17.5 m 5. 150 m x 600 m 4. 12 km x 24 km + 3