Two regular octagons have areas of 48 mm² and x² + 8x mm². what values of x make the octagons congruent?

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

answer: can you show the options ?

step-by-step explanation: