\( x = rac{-35 \pm \sqrt{1225 + 816}}{4} = rac{-35 \pm \sqrt{2041}}{4} \)
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- \( 4x^2 + 70x + 300 = 504 \Rightarrow 4x^2 + 70x - 204 = 0 \)
- Divide by 2: \( 2x^2 + 35x - 102 = 0 \)
- \( x = rac{-35 \pm \sqrt{35^2 - 4(2)(-102)}}{2(2)} \)
- Approximate \( \sqrt{2041} pprox 45.18 \)
- \( x = rac{-35 + 45.18}{4} = rac{10.18}{4} pprox 2.545 \)
- Since width must be positive, \( x pprox 2.55 \) meters.
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