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

Puzzles and Curious Problems by Henry Ernest Dudeney: $230$

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?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Geometrical Problems: Various Geometrical Puzzles: $230$. -- In a Garden
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Triangle, Square & Other Polygon Puzzles: $276$. In a Garden