To find the side length and perimeter of a square with an area of 49 square units, we will first need to determine the side length.
The area of a square is calculated using the formula:
Area = side length × side length
Given that the area is 49, we can set up the equation:
49 = side length × side length
To find the side length, we take the square root of both sides:
side length = √49
This simplifies to:
side length = 7 units
Now that we have the side length, we can calculate the perimeter of the square. The formula for the perimeter of a square is:
Perimeter = 4 × side length
Substituting the side length we found:
Perimeter = 4 × 7
This gives us:
Perimeter = 28 units
In summary, the side length of the square is 7 units and the perimeter is 28 units.