2. Homework 1. In class we used a 50 cm length of string to consider which shape of fence would enclose the greatest amount of land. For this problem, cut your own 50 cm length of string, tape the ends of the string together, and then use your string "fence" to answer the questions below. Warning: Be sure to use the entire 50 cm of string for each shape. Also, be sure that you actually build the shapes! In the past, some students completed this assignment without building the shapes and submitted physically impossible results. Finally, you must show your work (calculations) to receive full credit. Use your "fence" (loop of string) to make two different-sized right triangles (i.e., triangles with a 90 degree angle), and calculate the area of each triangle in square centimeters. b. Use your "fence" (loop of string) to make two different rectangular shapes, and calculate the area of each rectangle in square centimeters. c. Use your "fence" (loop of string) to make a circle, and calculate the area of the circle in square centimeters. d. Make a table showing the calculated area of each shape. Which fence shape encloses the greatest amount of land? How do you know? In the section of graph paper below, the side of each square has a length of 0.5 centimeters (1/2 centimeter). a. b. On the graph paper above, draw a heart-shaped figure. It doesn't have to fill the graph. Note: You'll need to submit this page (with drawing) with your homework. Estimate the area of your shape (in cm). C. Calculate the area of your shape (in cm) as accurately as possible using one of the methods developed in class.