Question

The area of a square field is 6050 m². The length of its diagonal is
(a) 110 m
(b) 112 m
(c) 120 m
(d) 135 m

Answer 1

(a) 110 m

Let the diagonal of the square field be d m.

In case of a square field, $d^2=2a^2$, where a is the side of the square field.
Now,
$\mathrm{Area}\mathrm{of}\mathrm{a}\mathrm{square}\mathrm{field}=a^2$
$$\begin{gathered} d^2=2a^2 \\ \Rightarrow d^2=2\times Area\mathit{}of\mathit{}the\mathit{}square\mathit{}field \\ \Rightarrow d=\sqrt{2\times \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{square}\mathrm{field}} \end{gathered}$$

∴ $d=\sqrt{2\times 6050}=\sqrt{12100}=110$