find the perimeter of a square whose area is 6889 m² Related: Example...
Perimeter of a Square Given its Area
To find the perimeter of a square, we need to know its area. Once we have the area, we can use the formula for the area of a square to find the length of its sides. Then, we can use the formula for the perimeter of a square to find its perimeter.
Finding the Length of the Sides
The area of a square is given by the formula:
Area = side × side
Therefore, to find the length of the sides of a square, we need to take the square root of its area:
side = √area
Calculating the Perimeter
Once we know the length of the sides, we can use the formula for the perimeter of a square:
Perimeter = 4 × side
Substituting the value of the side from the previous step, we get:
Perimeter = 4 × √area
Applying the Formula
In this case, the area of the square is given as 6889 m². Therefore, we can find the length of its sides as:
side = √6889 = 83 m
Using this value, we can calculate the perimeter of the square as:
Perimeter = 4 × 83 = 332 m
Answer:
The perimeter of the square whose area is 6889 m² is 332 m.