Question

The area of a square plot is 84.64 sq. m. Find the side of the plot. Also find
the perimeter of the plot.

Answer 1

Area of square= a²

Therefore, a=$\sqrt{a²}$

Therefore, a=$\sqrt{84.64} = 9.2m$

Now, perimeter= 4a= 4(9.2)= 36.8 sq. m

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Answer 2

Answer:

$\bigstar{\bold{Side\:of\:the\:plot=9.2\:m}}$

$\bigstar{\bold{Perimeter\:of\:the\:plot=36.8\:m}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Area of the square plot = 84.64 m²

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Side of the plot
• Perimeter of the plot

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ First we have to find the side of the square.

→ Area of a square is given by,

 Area of a square = side × side

→ Substituting the value of area we get the side of the square

  Side² = 84.64

  Side = √84.64

  Side = 9.2 m

→ Hence the side of the plot is 9.2 m

$\boxed{\bold{Side\:of\:the\:plot=9.2\:m}}$

→ Now we have to find the perimeter of the plot.

→ Perimeter of a square is given by

 Perimeter = 4 × side

→ Substituting the value for side,

  Perimeter =  4 × 9.2

  Perimeter = 36.8 m

→ Hence perimeter of the plot is 36.8 m

$\boxed{\bold{Perimeter\:of\:the\:plot=36.8\:m}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ The perimeter of a square is given by,

  Perimeter of a square = 4 × a

→ The area of a square is given by,

   Area of a square = a²

  where a is a side of the square