Question

What should be side of square ( in cm ) if it's perimeter is equal to area ?

Answer 1

Hello Friend
Area of square = a^4 ( if side = a)
Perimeter of square= 4a ( if side =a)
Given condition
a^2 = 4a
a = 4

Answer 2

Let the side of of the square be x

Express the area of the square in term of x:

Area of a square = Length x Length

Area of a square = Length²

Area of a square = x²

Express the perimeter of the square in term of x:

Perimeter = 4 x Length

Perimeter = 4x

Solve x:

Given that the area = perimeter

x² = 4x

x² - 4x =0

x(x - 4) = 0

x = 0 or x - 4 = 0 [ reject x = 0 since length cannot be 0 ]

x - 4 = 0

x = 4

Answer: The length of the side is 4 cm