Question

The city park is a square of land woth an area of 10,000 m^2. What is the length of the fence that encloses the park ?​

Answer 1

The length of the fence that encloses the park is 400 m

Explanation:

step 1

Find the length of the square city park

we know that

The area of a square is

`A=b^2`

where

b is the length side of the square

we have

`A=10,000\ m^2`

substitute and solve for b

`10,000=b^2`

take square root both sides

`b=100\ m`

step 2

Find out the length of the fence that encloses the park

we know that

The length of the fence is equal to the perimeter of the square city park

The perimeter of the square is

`P=4b`

we have

`b=100\ m`

substitute

`P=4(100)=400\ m`

therefore

The length of the fence that encloses the park is 400 m