Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?

The area is x(x + 3), and it must be no more than 50: x² + 3x − 50 ≤ 0. The roots are approximately −8.728 and 5.728, so the inequality holds between them. Since x is a length, it must be positive, giving 0 < x ≤ 5.728: choice D, (0, 5.728].

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