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the area of asquare field is 2.25 hectares.find its perimeter in metres if hectare is qual to 10000square metres​

Respuesta :

Answer:

Perimeter of the square field is 600 meters.

Step-by-step explanation:

Given:

Area of a square field = 2.25 hectares

1 hectare = 10000 m²

∴2.25 hectares =[tex] 2.25\times10000 = 22500[/tex] m²

Now, let each side length of the square field be [tex]a[/tex] meters.

∴ Area = [tex]a^{2}[/tex]

⇒ [tex]22500 = a^{2}[/tex]

⇒ [tex]a=\sqrt{22500}=150[/tex] m

Now, perimeter of a square is given as, [tex]P = 4a[/tex].

Here, [tex]a=150[/tex] m.

∴ [tex]P=4\times150=600[/tex] m

Hence, the perimeter of the square field is 600 meters.

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