Which Shape Has Equal Perimeter and Area?

A two-dimensional equable shape (or perfect shape) is one whose area is numerically equal to its perimeter. For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30.

Can perimeter and area be the same?

The perimeter will always be even, because the length is multiplied by 2, making it even, and is added to the width which has been multiplied by 2, also making it even. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

What is the side of square whose area and perimeter are equal?

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