MHB Find the Border of a Pond with an Area of 800 sq. m.

[muntasir]

There is a pond in the garden having bank of equal with on all sides.If the area of the pond is 800 square meter then determine the border of the pond?

please solve the math.

 

[MarkFL]

Hello and welcome to MHB! (Wave)

How many sides of equal length is the perimeter of this pond?

 

[muntasir]

nothing is given there.
no length, no perimeter.
only that question was given and told to slove it.

 

[MarkFL]

Let's assume it has 4 sides, that is, it's square in shape. Suppose $s$ is the length of the 4 sides. What is the area and perimeter of the pond in terms of $s$?

 

[muntasir]

Thank u sir for your help.

 

[MarkFL]

Thank u sir for your help.

Can you answer the questions I asked?

 

[MarkFL]

To follow up:

Area: $$A=s^2\implies s=\sqrt{A}$$

Perimeter: $$P=4s=4\sqrt{A}$$

Plug in the given area:

$$P=4\sqrt{800}\text{ m}^2=80\sqrt{2}\text{ m}$$