Module 2 - Group Challenge Problem Discussion 1) The length of a rectangle is a two-digit number with identical digits (aa). The width is 1/10 of the length. The perimeter is 2 times the area of the rectangle. Find the length and the width. 2) How long is the shorter side of a rectangle when one side is 2\" longer than the other and the area is 15 sq. in? 3) Solve the following inequality for b. 7 - 4b 3(b 1) Show the solution in set builder notation and interval notation. 4) Solve the following inequality for x. 1 - 5 (2 25) + 1 3 (4 + 9) > 1 5) Four numbers have a sum of 9900. The second exceeds the first by 1/7 of the first. The third exceeds the sum of the first two by 300. The fourth exceeds the sum of the first three by 300. Find the three numbers