Question

Q. The height of a parallelogram is half its base. If its area is 200 cm², find its height and base.

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{Let}\mathrm{the}\mathrm{height}=\mathrm{x}\mathrm{so}\mathrm{base}=2\mathrm{x} \\ \mathrm{So}\mathrm{area}\mathrm{of}\mathrm{parallelogram}=\mathrm{base}\times \mathrm{height} \\ \mathrm{x}\times 2\mathrm{x}=200 \\ {\mathrm{x}}^2=100 \\ \mathrm{so}\mathrm{x}=\sqrt{100}=10 \\ \mathrm{so}\mathrm{height}\mathrm{of}\mathrm{parallelogram}=\mathrm{x}=10\mathrm{cm} \\ \mathrm{and}\mathrm{base}=2\mathrm{x}=20\mathrm{cm} \end{gathered}$$