Your question did not make sense the first time you posted it, that is why nobody has answered it.
Are we supposed to see some kind of square?
Does the x "in the square" represent the area or the length of the side?
Awaiting your clarification so I can answer your question.
In the square, x represents a positive whole number. find the value of x much that the area is equal to half the perimeter of the square.
3 answers
The square simply shows an unknown number, x covering one side. Meaning x represents the length of the side.
so the area is x^2
and the perimeter is 4x
area = (1/2)perimeter
x^2 = 2x
x^2 - 2x = 0
x(x-2) = 0
x = 2 or x = 0 , the latter makes no sense
and the perimeter is 4x
area = (1/2)perimeter
x^2 = 2x
x^2 - 2x = 0
x(x-2) = 0
x = 2 or x = 0 , the latter makes no sense