1. Professor J has been going crazy during the quarantine, and has decided to put up some new outdoor decorations to her house. She has a ladder which she knows must be at least 3 feet away from the wall in order to be stable. How far away from the base of her house will she need to put her 15-foot ladder so that it reaches exactly 12 feet up the wall? Will the ladder be stable enough for her to use? Answer in complete sentences. (Hint: Draw a picture and label a triangle.)

2.,in her boredom, built a playpen for her pet hedgehog Russell. Upon being in a new place, Russell spent lots of time running along the edge of the playpen. In watching him, Professor J wondered just how far Russell was running. She realized she could plot the four corners of Russell’s new space on a graph at the following points:
A (2,3) B (6, 0) C (2, -3) D (-2, 0)
Calculate the distance Russell will run in a single lap of the playpen. Graph the points and draw a simple picture of the situation.