Problem

The perimeter of a rectangle is $86 \mathrm{~cm}$. If the length is $25 \mathrm{~cm}$, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use $w$ as your variable in the equation.
The equation is
B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is $\mathrm{cm}$ wide.
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Answer

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Answer

Final Answer: The width of the rectangle is \(\boxed{18}\) cm.

Steps

Step 1 :The perimeter of a rectangle is given by the formula \(2 \times (\text{length} + \text{width})\). We know the perimeter is 86 cm and the length is 25 cm.

Step 2 :We can set up the equation \(2 \times (25 + w) = 86\), where \(w\) is the width of the rectangle.

Step 3 :Solving this equation will give us the width of the rectangle.

Step 4 :Final Answer: The width of the rectangle is \(\boxed{18}\) cm.

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