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Dear student, Area of triangle = \frac{1}{2} bh Area of tri . ABC = 30 {cm}^{2} \Rightarrow \frac{1}{2} \times AB \times BC = 30 . . . . . . . . (1) Area of tri . ABD = 110 {cm}^{2} \Rightarrow \frac{1}{2} \times AB \times BD = 110 . . . . . . (2) Divide (1) and (2) \frac{\frac{1}{2} \times AB \times BC}{\frac{1}{2} \times AB \times BD} = \frac{30}{110} \Rightarrow \frac{BC}{BD} = \frac{3}{11} \Rightarrow \frac{BC}{BC + CD} = \frac{3}{11} \Rightarrow \frac{6}{6 + CD} = \frac{3}{11} \Rightarrow 66 = 18 + 3 CD \Rightarrow 48 = 3 CD \Rightarrow CD = 16 cm Regards

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