Henry Ernest Dudeney/Puzzles and Curious Problems/232 - A Pavement Puzzle/Solution

by : $232$

 * A Pavement Puzzle

Solution

 * $26$ and $38$ feet on one side.

Proof
Let $a$ and $b$ feet be the lengths of the sides of the floors.

We have:

As it is the positive root we want here, we have that $a = 26$ and hence $b = 26 + 12 = 38$.