You are designing a museum exhibit, and you've been asked to put up a rope fence to make sure that people don't get too close to the exhibit. Because the exhibit is being built against a wall, you only need three lines of rope.

a) If you have total of 8m of rope, what is the maximum area you can enclose? [5 marks

b) For security reasons, the museum wants to make sure that the ropes keep people at least 3m away from the wall. What is the maximum area that can be enclosed in this case