A rectangle has an area of 400 cm^2. If the rectangle is a square, what is its perimeter?

To find the perimeter of the square, we need to find the length of one side first.

Since the area of the rectangle is given as 400 cm^2, we can assume that the length of the rectangle is equal to the width, as the area of a rectangle is calculated by multiplying the length and the width.

So, let's assume the side length of the square is "s".

Since the square is a square, its length and width are equal. Hence, the area of the square can be calculated by squaring the side length: s^2.

Given that the area of the square is 400 cm^2, we can set up the following equation:

s^2 = 400

To solve for "s," we can take the square root of both sides of the equation:

√(s^2) = √400

Simplifying, we have:

s = 20

So, the side length of the square is 20 cm.

To find the perimeter of the square, we multiply the side length by 4 (as a square has four equal sides):

Perimeter = 4 × s = 4 × 20 = 80 cm

Therefore, the perimeter of the square is 80 cm.

To find the perimeter of the square, we need to determine the length of one side. Since the area of the rectangle is given, we can find the length of one side by taking the square root of the area.

In this case, the area of the rectangle is 400 cm². Taking the square root of 400 gives us √400 = 20 cm.

Since the rectangle is a square, all four sides have the same length. Therefore, the perimeter is calculated by multiplying the length of one side by 4:

Perimeter = 4 * length of one side

For the given square, the length of one side is 20 cm. Thus, the perimeter is 4 * 20 cm = 80 cm.

Therefore, the perimeter of the square is 80 cm.

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