The diagram shows an 8-sided shape $$\(A B C D E F G H\)$$. $$\(H G=28 \mathrm{~cm} \quad F G=12 \mathrm{~cm} \quad A B=E F=5 \mathrm{~cm}\)$$ The height of the shape is $$\(20 \mathrm{~cm}\)$$ $$\(C D\)$$ is parallel to $$\(H G\)$$ The area of shape $$\(A B C D E F G H\)$$ is $$\(434 \mathrm{~cm}^{2}\)$$ Find the length of $$\(C D\)$$. $$\(\mathrm{cm}\)$$

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