Question

the area of a square field is 1/2 hectare find the length of its diagonal in meters

Answer 1

Hey mate..
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Let, the length of the diagonal be d

We know,

1 hectare = 10,000m^2

Thus,

1/2 hectare = 5,000 m

Now,

Applying Pythagoras theorem,

1/2 (diagonal)^2=5000

Thus,

=> (diagonal)^2 = 5000×2

=> (d)^2= 10,000

=> d = $\sqrt{10000}$

=> d= 100m

Thus, the length of the diagonal is 100m

Hope it helps ®