This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — here's the solution for question 8: Step 1: Determine the area scale factor from the linear scale. The linear scale is 1:50000, meaning 1 cm on the map represents 50000 cm on the ground. The area scale factor is the square of the linear scale factor: Area Scale Factor = (50000)^2 = 2,500,000,000 So, 1 cm^2 on the map represents 2,500,000,000 cm^2 on the ground. Step 2: Calculate the actual area in cm^2. Actual Area in cm^2 = Area on map × Area Scale Factor Actual Area in cm^2 = 6.16 cm^2 × 2,500,000,000 Actual Area in cm^2 = 15,400,000,000 cm^2 Step 3: Convert the actual area from cm^2 to m^2. Since 1 m = 100 cm, then 1 m^2 = (100 cm)^2 = 10,000 cm^2. Actual Area in m^2 = 15,400,000,000 cm^210,000 cm^2/m^2 Actual Area in m^2 = 1,540,000 m^2 Step 4: Convert the actual area from m^2 to hectares. Since 1 hectare = 10,000 m^2. Actual Area in hectares = 1,540,000 m^210,000 m^2/hectare Actual Area in hectares = 154 hectares The actual area of the lake is 154 hectares. Send me the next one 📸