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
Step 1: Identify the shape and given dimensions. The flower garden is in the shape of a regular hexagon. The side length of the hexagon is s = 8 m. Step 2: State the formula for the area of a regular hexagon. The area A of a regular hexagon with side length s is given by the formula: A = 3sqrt(3)2 s^2 Step 3: Substitute the given side length into the formula. Substitute s = 8 m into the formula: A = 3sqrt(3)2 (8)^2 Step 4: Calculate the area. First, calculate 8^2: A = 3sqrt(3)2 (64) Multiply 3sqrt(3)2 by 64: A = 3sqrt(3) × (64)/(2) A = 3sqrt(3) × 32 A = 96sqrt(3) m^2 To provide a numerical value, use sqrt(3) ≈ 1.732: A ≈ 96 × 1.732 A ≈ 166.272 m^2 The area of the garden is approximately 166.272 m^2. 166.272 m^2 That's 2 down. 3 left today — send the next one.