Answer :

Divide the give fig. into two

Perimeter of first shape = 2a + 2b


= 2(x + 2) + 2(2x + 2)


Perimeter of second shape = 2a + b


= 2(x + 1) + (2x + 2)


Total perimeter = 77 cm


2(x + 2) + 2(2x + 2) + 2(x + 1) + (2x + 2) = 77


2x + 4 + 4x + 4 + 2x + 2 + 2x + 2 = 77


10x + 12 = 77


10x = 77-12


10x = 65


x = 65/10 = 6.5cm


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