Question

Problem 1)

A) The Central Park Zoo needs to build a rectangular area of 225 sq. feet to hold a zebra, a lion, a hippo, and a giraffe. The outside fencing costs $5 per foot. There must also be stone walls dividing the area into four distinct pens, which cost $15 per foot. Calculate the dimensions necessary to minimize the cost of building this area.

B) Kyoshi Island is 2 miles due east of its closest point on Whale Tail Island. The Gaang is staying at a temple on the shore of Whale Tail Island that is 6 miles west of that point. They are planning on going from the temple to Kyoshi Island. If the Gaang walks at a rate of 4mph and flies on Appa at a rate of 10mph over the sea, how far should they walk before flying on Appa to minimize the time it takes to reach Kyoshi Island?

Answer 1