Question

find the height of trapezium whose area is 1080 CM square and length of its parallel sides are 55.6 cm and 34.4 CM

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{trapezium}=1080{\mathrm{cm}}^2 \\ \mathrm{Length}\mathrm{of}\mathrm{parallel}\mathrm{sides}=55.6\mathrm{cm}\mathrm{and}34.4\mathrm{cm} \\ \mathrm{Area}\mathrm{of}\mathrm{trapezium}=\frac{1}{2}\times \mathrm{height}\times \left(\mathrm{sum}\mathrm{of}\mathrm{parallel}\mathrm{sides}\right) \\ 1080=\frac{1}{2}\times \mathrm{h}\times \left(55.6+34.4\right) \\ 1080=\frac{1}{2}\times \mathrm{h}\times \left(90\right) \\ 1080=45\mathrm{h} \\ \mathrm{h}=\frac{1080}{45} \\ \mathbf{h}\mathbf{}\mathbf{=}\mathbf{}\mathbf{24}\mathbf{}\mathbf{cm} \end{gathered}$$

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