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24 October, 11:39

The length of a rectangle is 3 inches more that its width. The perimeter of the rectangle is at least 30 inches. Which inequality shows the possible range of widths of the rectangle?

A. w ≥ 16.5 inches

B. w ≥ 13.5 inches

C. w ≥ 9 inches

D. w ≥ 6 inches

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Answers (1)
  1. 24 October, 14:04
    0
    Perimeter of a rectangle: 2 (l + w)

    2 (l + w) ≥ 30 in

    Simplify - divide both sides by 2.

    l + w ≥ 15 in

    Substitute (w + 3) into l so only 1 variable is used.

    (w + 3) + w ≥ 15 in

    Simplify further - add variables and subtract 3 from both sides.

    2w ≥ 12 in

    Divide both sides by 2.

    w ≥ 6 in

    Answer: D
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