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In figure 1,   if the  length of AB is u cm , the remaining length of the figure without AB = 36 – u cm

In figure 2 , by inspection, the perimeter of the figure are actually = 4 * (perimeter of figure 1) – 2*4u

4* 36 – 8u = 96

144 – 8u = 96

8u = 48

u = 6

AB is 6 cm. 

 

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