Question

The area of the square shaped field is 16 hectare find the perimeter of the field in meter

Answer 1

$\mathfrak{Answer:}$

Perimeter of the field = 1600 meter.

$\mathfrak{Step-by-Step\;Explanation:}$

$\underline{\bold{Given\;in\;the\;Question:}}$

• Area of the field = 16 hectare.

$\mathbb{SOLUTION:}$

Let the side be x meter.

$\boxed{\bold{1\;hectare=10000\;m^2}}$

$\bigstar\quad\textbf{We know that : \boxed{\bold{Area\;of\;Square=(side)^2.}}}\\\\\\\mathfrak{According\;to\;Question:}\\\\\\\implies\tt{x^2 =160000}\\\\\\\implies\tt{x=\sqrt{160000}}\\\\\\\implies\tt{x=400.}$

$\bigstar\quad\textbf{We also know that : \boxed{\bold{Perimeter=4\times side.}}}\\\\\\\tt{=4\times 400}\\\\\\\tt{=1600\;meter}\\\\\\\\\boxed{\boxed{\bold{Perimeter=1600\;meter.}}}$

Answer 2

Answer:

Perimeter of the square is 1600 metres

Step-by-step explanation:

Formula for Area of a square = (side × side) or side²

Given

Area of the square = 16 hectares

1 hectare = 10,000 metres²

16 hectares = 1,60,000 metres

So,

Side² = 1,60,000 metres

Side = √1,60,000

Side = 400 metres

Hence side of the square is 400 metres

Perimeter of a square = (4 × side)

Perimeter of the square = (4 × 400)

Perimeter of the square = 1600 metres

Hence perimeter of the square in metres is 1600.