Answer:
Explanation:
To find the side length of the square when the area of a square and a rectangle are equal, we can compare the formulas for the areas of a square and a rectangle.
The formula for the area of a square is given by:
Area of a square = side length^2
The formula for the area of a rectangle is given by:
Area of a rectangle = length * breadth
In this case, we are given that the length of the rectangle is 16 m and the breadth is 4 m. We need to find the side length of the square.
Since the areas of the square and the rectangle are equal, we can set up the following equation:
side length^2 = length * breadth
Let's substitute the given values into the equation:
side length^2 = 16 m * 4 m
Simplifying further:
side length^2 = 64 m^2
To find the side length, we take the square root of both sides of the equation:
side length = √(64 m^2)
Calculating the square root:
side length = 8 m
Therefore, the side length of the square is 8 meters.