Question

The area of a square field is $0.25$ hectare. The length of its diagonal is_

• A. $50$ m
• B. $50\sqrt{2}m$
• C. $100$ m
• D. $150$ m

Answer 1

The correct option is A $50$ m

Given area of square field $=0.25$ hectare

$1$ hectare $=10,000$m $=0.25\times 10,000$

$=0.25\times 100$

$=2500$ sq. m

Let side of square be 'a'

Area of square $=a^2$

$a^2=2500$

$\Rightarrow a=50m$

Diagonal of square $=\sqrt{2}a=\sqrt{2}\times 50$

$=50\sqrt{2}$m.