A rectangular lawn is 10m by 16m. When dad is looking, Ron walks along two edges to get from house to gate. When dad is not looking, Ron walks diagonally. How much further does Ron walk along the edges? Give answer to 2 decimal places.

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:
$d = \sqrt{356} \approx 18.87\,m$

Step 3: How much further Ron walks than dad.
Subtract dad's path from Ron's path:
$26\,m - 18.87\,m = 7.13\,m$

$\boxed{7.13 m}$