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
KIMBE, let's knock this out. a) Step 1: Identify the given values for the area formula. The two sides are a = 20 m and b = 25 m. The angle between them is C = 48^. Step 2: Substitute the values into the area formula and calculate. Area = (1)/(2) × a × b × C Area = (1)/(2) × 20 m × 25 m × 48^ Area = 10 m × 25 m × 0.7431448... Area = 250 m^2 × 0.7431448... Area = 185.7862... m^2 Step 3: Round the area to 2 decimal places. Area = 185.79 m^2 The area of the plot is 185.79 m^2. b) Step 1: Identify the lengths of all three sides. The two given sides are 20 m and 25 m. The third side is 18.5 m. Step 2: Calculate the total length of fencing required (perimeter). Perimeter = Side 1 + Side 2 + Side 3 Perimeter = 20 m + 25 m + 18.5 m Perimeter = 63.5 m The total length of fencing required is 63.5 m. c) Step 1: Use the perimeter from part (b) and the cost per metre. The total length of fencing is 63.5 m. The cost per metre is K45.00. Step 2: Calculate the total cost of fencing. Total Cost = Perimeter × Cost per metre Total Cost = 63.5 m × K45.00/m Total Cost = K2857.50 The total cost of fencing this plot is K2857.50. Send me the next one 📸