The area of a square field is 6050 m2.

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

$\Rightarrow d=\sqrt{2 \times \text { Area of the square field }}$

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

 

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