90 cm
Step-by-step explanation:
Given that :
Perimeter of a rectangle = 2(Length + Width)
Perimeter of print area = 2(100 + 140) = 480cm
Perimeter of entire poster :
Let uniform width of blank strip = x
x on each of the 4 sides side ;
2(2x + 100 + 2x + 140)
2(4x + 240)
8x + 480
Perimeter of poster = 1 2/3 perimeter of print area
8x + 480 = 5/2(480)
8x + 480 = 1200
8x = 1200 - 480
8x = 720
x =. 720 / 8
x = 90 cm