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in fig if area of parallelogram​​ ABCD is 30cm^​2 ​then the length of alitiude AQ IS

Dear Student,

Please find below the solution to the asked query :

$$\begin{gathered} \mathrm{Since} \mathrm{ABCD} \mathrm{is} \mathrm{a} \mathrm{parallelogram}, \mathrm{then} \\ \mathrm{AB} = \mathrm{DC} \mathrm{and} \mathrm{AD} = \mathrm{BC} \left[\mathbf{Opposite}\mathbf{ }\mathbf{sides}\mathbf{ }\mathbf{of}\mathbf{ }{\mathbf{\parallel }}^{\mathbf{gm}}\mathbf{ }\mathbf{are}\mathbf{ }\mathbf{equal}\right] \\ \mathrm{So}, \mathrm{BC} = \mathrm{AD} = 6 \mathrm{cm} \\ \mathrm{Now}, \mathrm{area} \mathrm{of} {\parallel }^{\mathrm{gm}} \mathrm{ABCD} = \mathrm{base} \times \mathrm{height} \\ \Rightarrow 30 = \mathrm{BC} \times \mathrm{AQ} \\ \Rightarrow 30 = 6 \times \mathrm{AQ} \\ \Rightarrow \mathrm{AQ} = \frac{30}{6} = 5 \mathrm{cm} \end{gathered}$$

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