Question

the area of a square plot is 1764 m2 .find the length ofit,s one side and one diagnol .

(HINT length ofa diagnol= 2 x length of a side)

Answer 1

Let s = side of the square
area of square = 1764 m^​2
$$\begin{gathered} \Rightarrow s^2=1764 \\ \mathrm{taking}\mathrm{square}\mathrm{root}\mathrm{both}\mathrm{sides}\mathrm{we}\mathrm{get}, \\ \mathrm{s}=42\mathrm{m} \\ \mathrm{diagonal}\mathrm{of}\mathrm{square}=\sqrt{2}\mathrm{s}=42\sqrt{2}\mathrm{m} \end{gathered}$$