Question

1. The area of a parallelogram are 35cm and 27 cm in length. If the perpendicular distance between the shorter sides is 12cm, find the distance between the longer sides. 2. The area of a triangle is equal to that of a square whose each side measures 60m. Find the side of the triangle whose corresponding altitude is 90m.​

Answer 1

Dear student
$$\begin{gathered} \mathrm{Given}, \\ \mathrm{Area}\mathrm{of}\mathrm{triangle}=\mathrm{Area}\mathrm{of}\mathrm{square} \\ \Rightarrow \frac{1}{2}\times \mathrm{b}\times \mathrm{h}={\mathrm{a}}^2 \\ \Rightarrow \frac{1}{2}\times \mathrm{b}\times 90={60}^2 \\ \Rightarrow \mathrm{b}=\frac{3600\times 2}{90} \\ \Rightarrow \mathrm{b}=80 \\ \mathrm{So},\mathrm{side}\mathrm{of}\mathrm{triangle}\mathrm{is}80\mathrm{m}. \end{gathered}$$
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