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Perimeter signifies the distance around the outside of a figure.  We are told that the perimeter of this figure is 42.3 m.  Add up the lengths of all the sides, including the one marked "x."  

7.8 m + x + 11.9 m + 16.3 m = 42.3 m

Combining the terms on the left:  36 + x = 42.3 (meters)

Then x = 42.3 - 36   (meters).      So, the exact value of x is    x = 6.3 meters

Atranslation 6 units to the right and 4 down