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The perimeter of a rectangular rug is 2.4 meters. The length of the rug is 0.8 meters. What is the width in meters of the rug? A. 0.4m B. 0.8m C. 3m D. 1.6m

The perimeter of a rectangular rug is 22.44 meters. The length of the rug is 00.88 meters. What is the width in meters of the rug?\newlineA. 0.4 m 0.4 \mathrm{~m} \newlineB. 0.8 m 0.8 \mathrm{~m} \newlineC. 3 m 3 \mathrm{~m} \newlineD. 1.6 m 1.6 \mathrm{~m}

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Q. The perimeter of a rectangular rug is 22.44 meters. The length of the rug is 00.88 meters. What is the width in meters of the rug?\newlineA. 0.4 m 0.4 \mathrm{~m} \newlineB. 0.8 m 0.8 \mathrm{~m} \newlineC. 3 m 3 \mathrm{~m} \newlineD. 1.6 m 1.6 \mathrm{~m}
  1. Perimeter Formula: The formula for the perimeter PP of a rectangle is P=2(length+width)P = 2(\text{length} + \text{width}). We are given the perimeter P=2.4P = 2.4 meters and the length 0.80.8 meters. We need to find the width.
  2. Denote Width as ww: Let's denote the width as ww. According to the perimeter formula, we have:\newline2.4=2(0.8+w)2.4 = 2(0.8 + w)
  3. Isolate Length + Width: To find the width, we first divide both sides of the equation by 22 to isolate the length + width term:\newline2.42=2(0.8+w)2\frac{2.4}{2} = \frac{2(0.8 + w)}{2}\newline1.2=0.8+w1.2 = 0.8 + w
  4. Solve for Width: Now, we subtract 0.80.8 from both sides to solve for ww:\newline1.2−0.8=w1.2 - 0.8 = w\newline0.4=w0.4 = w

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