Henry Ernest Dudeney/Puzzles and Curious Problems/230 - In a Garden/Solution

by : $230$

 * In a Garden
 * Consider a rectangular flower-bed.
 * If it were $2$ feet broader and $3$ feet longer, it would have been $64$ square feet larger;
 * if it were $3$ feet broader and $2$ feet longer, it would have been $68$ square feet larger.


 * What is its length and breadth?

Solution
The flower bed is $10$ feet broad and $14$ feet long.

Proof
Let $a$ and $b$ feet be the length and breadth respectively of the flower bed.

We have:

Hence the result.