Question

Find the side of a square whose perimeter and area are the same

Answer 1

Area of square = (side)^2

Perimeter of square = 4 × side

According to the question, (side)^2 = 4 × side.

The number whose square is equal to the product of it and the number of sides of square is 4.

${4}^{2} = 16 \: and \: 4 \times 4 = 16$

Therefore, the side of the square is equal to 4 units.

Answer 2

Answer:

The side of the square is 4 units.

Step-by-step explanation:

Let the side of the square be x, the area be a and its perimeter be p.

p = 4x and a = x²

According to the question, p = a

Then, 4x = x²

Or, x²/x = 4 Or, x = 4 units

Hence, the side of the square is 4 units.