Question

area of a square field is 529 cm2, find : (i) length of its side (ii) length of its diagonal, correct to 2 decimal places ?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{each}\mathrm{side}\mathrm{of}\mathrm{square}=\mathrm{s} \\ \mathrm{Area}\mathrm{of}\mathrm{square}=529{\mathrm{cm}}^2 \\ \Rightarrow {\mathrm{s}}^2=529 \\ \Rightarrow \mathrm{s}=23\mathrm{cm} \\ \mathrm{Now},\mathrm{diagonal}=\sqrt{2}\mathrm{s}=1.414\times 23=32.52\mathrm{cm} \end{gathered}$$