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

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Discussion Overview

The discussion revolves around determining the border (perimeter) of a pond with a specified area of 800 square meters. The scope includes mathematical reasoning and problem-solving related to geometry.

Discussion Character

  • Mathematical reasoning, Homework-related

Main Points Raised

  • One participant asks for clarification on the shape of the pond, questioning how many sides it has.
  • Another participant suggests assuming the pond is square-shaped and proposes to express the area and perimeter in terms of the side length $s$.
  • A later reply provides formulas for the area and perimeter based on the assumption of a square, calculating the perimeter using the given area.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the shape of the pond, as the initial question does not specify it. Multiple views on the shape and calculations remain present.

Contextual Notes

The discussion lacks specific information about the shape of the pond, which affects the calculations of perimeter. Assumptions made about the shape may not reflect the actual scenario.

muntasir
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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.
 
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Hello and welcome to MHB! (Wave)

How many sides of equal length is the perimeter of this pond?
 
nothing is given there.
no length, no perimeter.
only that question was given and told to slove it.
 
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 $s$?
 
Thank u sir for your help.
 
muntasir said:
Thank u sir for your help.

Can you answer the questions I asked?
 
To follow up:

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

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

Plug in the given area:

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

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