A science museum is going to put an outdoor restaurant along one wall of the museum. The restaurant space will be rectangular. Assume the museum would prefer to maximize the area for the restaurant.

a. Suppose there is 120 feet of fencing available for the three sides that require fencing. How long will the longest side of the restaurant be?
b. What is the maximum area?

Question

A science museum is going to put an outdoor restaurant along one wall of the museum. The restaurant space will be rectangular. Assume the museum would prefer to maximize the area for the restaurant.

a. Suppose there is 120 feet of fencing available for the three sides that require fencing. How long will the longest side of the restaurant be? 
b. What is the maximum area?

anonymous · Answer

I'm going to go with a)60 feet, b) 1800feet^2.