Question:
The area of a square field is 6050 m2. The length of its diagonal is
(a) 135 m
(b) 120 m
(c) 112 m
(d) 110 m
Solution:
(d) 110 m
Let the diagonal of the square field be d m.
In case of a square field, $d^{2}=2 a^{2}$, where $a$ is the side of the square field.
Now,
Area of a square field $=a^{2}$
$d^{2}=2 a^{2}$
$\Rightarrow d^{2}=2 \times$ Area of the square field
$\Rightarrow d=\sqrt{2 \times \text { Area of the square field }}$
$\therefore d=\sqrt{2 \times 6050}=\sqrt{12100}=110$