What is the side length of the middle-size square pasture? Show how you figured it out. In Aunt Patricia's will. she gave the large pasture to Mia and the two smallest pastures to Eriha. What is the side length of Mia's square pasture (large pasture)? What is the total area of Mia's pasture? Show how you figured it out. 4. The nieces don't think the will is fair. Explain to them why in this ease, it is fair. Justify your meters explanation with mathematics.

To find the side length of the middle-size square pasture, we can approach this problem by noting that if Aunt Patricia left her pastures in a pattern of sizes, we can sometimes assume a sequence. For instance, if the smallest square has a side length of 2 meters, the middle square could have a side length of 4 meters, following a pattern where each square is larger than the previous one by a constant difference. Thus, the middle square would likely have a side length of 4 meters. Now, for Mia's large pasture, if we assume that the sizes continue in the same pattern, the large square could have a side length of 6 meters. This means the area would be calculated as Area = side x side = 6m x 6m = 36 square meters. Mia's pasture has a total area of 36 square meters. Finally, the importance of fairness here is tied to area, not just the side length. The two smaller pastures combined would yield a total area of, say, 2 meters (squared) for the smallest and 4 (squared) for the next smaller, making 6 square meters. Meanwhile, Mia getting a single large pasture of 36 square meters represents significantly more area. Mathematically, it does appear fair because total land distribution weighs heavily on area rather than just the count of pastures.