# The Belt Doubt!

Algebra Level 2

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

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

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