1. **Problem Statement:** Solve question 4 based on the given points A, B, C, D with their Northings and Eastings coordinates. 2. **Understanding the Problem:** We are given coordinates of four points forming a quadrilateral. Question 4 likely involves calculating distances, bearings, or areas related to these points. 3. **Step 1: Calculate the distances between points.** The distance between two points $(N_1, E_1)$ and $(N_2, E_2)$ is given by: $$d = \sqrt{(N_2 - N_1)^2 + (E_2 - E_1)^2}$$ Calculate distances for sides AB, BC, CD, DA: - $AB = \sqrt{(2998.89 - 2110.32)^2 + (4501.22 - 2540.85)^2} = \sqrt{(888.57)^2 + (1960.37)^2}$ - $BC = \sqrt{(1984.90 - 2998.89)^2 + (5123.46 - 4501.22)^2} = \sqrt{(-1013.99)^2 + (622.24)^2}$ - $CD = \sqrt{(2508.11 - 1984.90)^2 + (3504.89 - 5123.46)^2} = \sqrt{(523.21)^2 + (-1618.57)^2}$ - $DA = \sqrt{(2110.32 - 2508.11)^2 + (2540.85 - 3504.89)^2} = \sqrt{(-397.79)^2 + (-964.04)^2}$ 4. **Step 2: Calculate each distance numerically:** - $AB = \sqrt{789572.5 + 3845456.5} = \sqrt{4635029} \approx 2152.44$ - $BC = \sqrt{1028038 + 387184} = \sqrt{1415222} \approx 1189.61$ - $CD = \sqrt{273753 + 2619960} = \sqrt{2893713} \approx 1701.09$ - $DA = \sqrt{158241 + 929388} = \sqrt{1087629} \approx 1043.88$ 5. **Step 3: Calculate the diagonal AC:** - $AC = \sqrt{(1984.90 - 2110.32)^2 + (5123.46 - 2540.85)^2} = \sqrt{(-125.42)^2 + (2582.61)^2} = \sqrt{15732 + 6669950} = \sqrt{6685682} \approx 2586.04$ 6. **Summary:** - $AB \approx 2152.44$ m - $BC \approx 1189.61$ m - $CD \approx 1701.09$ m - $DA \approx 1043.88$ m - $AC \approx 2586.04$ m These distances can be used for further calculations such as perimeter, area, or checking boundary conditions.