He uses the Pythagorean theorem to write an equation to determine the width of the garden.(x)2 + (x + 4)2 = (12)2x2 + x2 + 8x + 16 = 1442x2 + 8x – 128 = 0What are the approximate dimensions of the garden?

Solve 2x² + 8x − 128 = 0 by dividing by 2: x² + 4x − 64 = 0. Its positive solution is x = (−4 + √272)/2 ≈ 6.2; the other solution is negative, so it cannot be a garden width. The other side is x + 4 ≈ 10.2, giving dimensions of 6.2 ft by 10.2 ft, choice B.

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