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: Length of Ron's path along the two edges of the lawn (when his dad is looking). The path is the sum of the side lengths. 10\,m + 16\,m = 26\,m Step 2: Length of dad's diagonal path across the lawn. Use the Pythagorean theorem for the diagonal d: d = sqrt(10^2 + 16^2)\,m Compute the squares: 10^2 = 100 16^2 = 256 Add the squares: 100 + 256 = 356 Take the square root: d = sqrt(356) ≈ 18.87\,m Step 3: How much further Ron walks than dad. Subtract dad's path from Ron's path: 26\,m - 18.87\,m = 7.13\,m 7.13 m