Solve the following word problems. (a) Mary wants to build a rectangular fenced area next to the interestion of two rivers so her little
lambs do not need her to bring water. The area she found looks like the below with dashed
lines representing the riversides.
If Mary has 1000 feet of fencing, what is the maximum area of the fenced area?
B) Mary realized the above area was a safety hazard for her lambs since they could fall in the river. Now she wants to construct a fenced rectangle of area 312500 square feet in the rainforest of Costa Rica where the air is so humid it can act as their water and away from any hazardous rivers. She does realize however that it will cost more for her to get fencing and is now concerned about this cost. For the first 3 sides it costs $8 per foot and there is a discount on the last side of $2 per foot. What is the minimum cost of the fencing?