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

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In summary, we are given a pond in the garden with equal sides, and an area of 800 square meters. We need to determine the perimeter of the pond, assuming it is square in shape. Using the formula for area and perimeter of a square, we can express the perimeter in terms of the length of the sides, which is equal to the square root of the given area. Plugging in the given area, we get a perimeter of approximately 80 times the square root of 2 meters.
  • #1
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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  • #2
Hello and welcome to MHB! (Wave)

How many sides of equal length is the perimeter of this pond?
 
  • #3
nothing is given there.
no length, no perimeter.
only that question was given and told to slove it.
 
  • #4
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 $s$?
 
  • #5
Thank u sir for your help.
 
  • #6
muntasir said:
Thank u sir for your help.

Can you answer the questions I asked?
 
  • #7
To follow up:

Area: \(\displaystyle A=s^2\implies s=\sqrt{A}\)

Perimeter: \(\displaystyle P=4s=4\sqrt{A}\)

Plug in the given area:

\(\displaystyle P=4\sqrt{800}\text{ m}^2=80\sqrt{2}\text{ m}\)
 

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

1. How do you determine the border of a pond with an area of 800 sq. m.?

To determine the border of a pond with an area of 800 sq. m., you can use a variety of methods such as aerial imagery, satellite imagery, or on-site measurements. These methods will help you identify the perimeter or outline of the pond, which is considered its border.

2. Is the border of a pond the same as its shoreline?

No, the border of a pond and its shoreline are not the same. The shoreline refers to the area where the water meets the land, while the border of a pond refers to the boundary or perimeter of the entire pond, including the water and the surrounding land.

3. How accurate are the methods used to find the border of a pond?

The accuracy of the methods used to find the border of a pond will depend on the type of method used. Aerial and satellite imagery can provide precise measurements, while on-site measurements may have some room for error. However, combining multiple methods can increase the accuracy of the results.

4. Can the border of a pond change over time?

Yes, the border of a pond can change over time due to natural processes such as erosion, sedimentation, and weather conditions. Human activities such as dredging, construction, and land use changes can also alter the border of a pond.

5. Why is it important to find the border of a pond?

Knowing the border of a pond is important for a variety of reasons. It helps with land use planning, environmental monitoring, and conservation efforts. It also provides important information for activities such as fishing, boating, and recreational use of the pond.

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