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smmwaite

Answers

4      and

-12


Explanation

The octagons can be considered congruent when their areas are the same.  

That is:

48 mm² = x² + 8x mm²

x² + 8x = 48

x² + 8x + 4² = 48 + 4²

(x + 4)² = 48 + 16

           = 64

x + 4 = √64                or           x + 4 = -√64

x = 8 - 4                                          x = -8 -4

  = 4                                                  = -12

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