Answers

  • Brainly User
2016-07-10T14:07:55+08:00
Area = (side)²

Side: (2x - 16) cm
Area: 108 cm²

Equation:

(2x-16)² = 108

 ( \sqrt{2x-16}) ^{2} = \frac{+}{-}  \sqrt{108}

2x - 16 =  \frac{+}{-} \sqrt{(36)(3)}

2x/2 =  (16 \frac{+}{-} 6 \sqrt{3})/2

x₁ = 8 + 3  \sqrt{3}     and   x₂ = 8 - 3 \sqrt{3}

Choose the positve root:

ANSWER:  x = 8 + 3  \sqrt{3} cm.
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