A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around the edges. The perimeter of the poster is 1 2 3 times the perimeter of the printed area. What is the width of the blank strip

The width of the blank strip is 30 cm.

Step-by-step explanation:

Let us assume the width of the blank strip  = x

According to the question:

The perimeter of the poster with the blank strip is:

P (1)  = 2(140 + 2x)   + 2 (100 + 2x)

or, P(1) =  8x +  480

Similarly, the perimeter of the printed area is:

P(2) = 2( length + width)

=  2 (140 + 100) = 2 x (240) = 480 cm

or, P(2) = 480 cm

Now,as we know: Perimeter  of poster  =   ( Perimeter of Printer area)

or, P(1) = P(2)

or, 8x  + 480 =

or, 8x  = 720 - 480 =  240

or, x  = 240/8 = 30

or, x  = 30 cm

Hence, the width of the blank strip id 30 cm.

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

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