The Belt Doubt!

Algebra Level 2

A magic wish-granting rectangular belt always shrinks to 12 \frac 1 2 its length and 13 \frac 1 3 its width whenever its owner makes a wish. After three wishes, the surface area of the belt's front side was 4 cm24 \text{ cm}^2 .

If the original width was 9 cm9 \text{ cm} , what was the original length in cm \text{cm} ?

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