Question 494817
We write the area of the square  in the form:

{{{16x^2+40x+25=(4x+5)^2}}}, where 4x+5 represent the length of the side of the 

square. Since the perimeter of the square is 52 cm we write:

4(4x+5)=52 solving this equation we get:16x=32 => x=2

Answer: x=2.