Hi,

Each side of a square is 4 m long, therefore A = 16m^2

When each side is increased by x, then (4+x)(4+x) = 32m^2

 (4+x)(4+x) = 32m^2

  16 + 8x + x^2 = 32

  x^2 + 8x - 16 = 0

 

 

tossing out negative solution for number of meters

 x = 1.6569m



CHECKING our Answer***

  5.6569*5.6569 = 32m^2 

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