a. Explain why it makes sense that the perimeter of a rectangle can be found by computing 21+2w where I is its length and w is its width. b. I want to run around the lake shown in the map below, and I plan to hug the shoreline. Lake Jen Scale 1 cm = 3 miles Use this map (exactly as shown here) to answer the following questions. Note: It would be better to print this page so that you can more easily and accurately perform the measurements needed. i) How far do I have to run? Clearly and completely explain and demonstrate the method you used to arrive at your answer. ii) How accurate do you expect your estimate to be? How can you improve its accuracy?