Problem

A rectangle has a perimeter of $66 \mathrm{~cm}$. If the width is $14 \mathrm{~cm}$, what is the length?
When a rectangle with a perimeter of $66 \mathrm{~cm}$ has a width of $14 \mathrm{~cm}$, its length is $\mathrm{cm}$.

Answer

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Answer

Final Answer: The length of the rectangle is \(\boxed{19 \mathrm{~cm}}\).

Steps

Step 1 :A rectangle has a perimeter of 66 cm. If the width is 14 cm, we are asked to find the length.

Step 2 :The perimeter of a rectangle is given by the formula \(2*(length + width)\). We can rearrange this formula to solve for the length: \(length = (perimeter/2) - width\).

Step 3 :Substituting the given values into the formula, we get \(length = (66/2) - 14\).

Step 4 :Solving the equation, we find that the length is 19 cm.

Step 5 :Final Answer: The length of the rectangle is \(\boxed{19 \mathrm{~cm}}\).

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