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The area of a square field is $\frac{1}{4}$ hectare. Find the length of its diagonal in metres.
Given:
Area of square = $\frac{1}{4}$ hectare.
To do:
We have to find the length of its diagonal in metres.
Solution:
We know that,
1 hectare = 10000 sq m
$\frac{1}{4}$ hectare = $\frac{10000}{4}$ sq.m. = 2500 sq.m.
Area of square = 2500 sq.m.
Area of a square = side $\times$ side
2500 = side $\times$ side
2500 = side2
Side=√2500
Side = 50 m
Length of the side of the square field = 50 m.
Diagonal of square = $\sqrt{50^{2} +50^{2}} =50\sqrt{2}$ m.
The length of the diagonal of the square field is $50\sqrt{2}$ m.
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