# Belt Puzzle - Solution

### The Puzzle:

A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something.

After three such wishes, its surface was 4 cm

What was the original length, if the original width was 9 cm?

After three such wishes, its surface was 4 cm

^{2}.What was the original length, if the original width was 9 cm?

### Our Solution:

The original length of the belt was 96 cm.

96×9 became 48×3, then 24×1, then 12×(1/3)

96×9 became 48×3, then 24×1, then 12×(1/3)

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