A rectangle has a perimeter of 54 cm. Its length is 3 cm more than twice its width w. Which equation correctly models this situation?

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Question

A rectangle has a perimeter of 54 cm. Its length is 3 cm more than twice its width w. Which equation correctly models this situation?

Accepted Answer

2(w + 2w + 3) = 54 — Perimeter = 2(length + width). Length = 2w + 3, so the equation is 2(w + 2w + 3) = 54. Option A ignores the perimeter formula entirely. Option C uses multiplication (area formula), not addition. Option D adds only one length and one width instead of using the full perimeter formula.

Answer

2w + 3 = 54

Answer

2w + (2w + 3) = 54

Answer

w(2w + 3) = 54

Answer

2(w + 2w + 3) = 54

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