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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

User Raj Adroit
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1 Answer

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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
User Ajith Renjala
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