Question 901563
length of square = x

area = x^2

width of rectangle = x+2 
length of rectangle = x+4

Area = (x+2)(x+4)

x^2+6x+8

sum of areas = x^2+x^2+6x+8

2x^2+6x+8 =268

2x^2+6x-260=0

/2
x^2+3x-130=0

x^2+13x-10x-130=0

x(x+13)-10(x+13)=0

(x+13)(x-10)-0

x= 10 taking positive value

side of square =10 cm