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The perimeter of a rectangular jewelry store is $208$ feet. The store is $67$ feet long. How wide is it? $\newline$ $\newline$ $\_\_\_\_$ feet

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Area and perimeter: word problems

Full solution

Q. The perimeter of a rectangular jewelry store is

208

feet. The store is

67

feet long. How wide is it?

\newline

\newline

\_\_\_\_

feet

Understand formula for perimeter: First, we need to understand the formula for the perimeter of a rectangle, which is $P = 2(L + W)$ , where $P$ is the perimeter, $L$ is the length, and $W$ is the width.
Plug in given values: Plug in the given values into the perimeter formula: $208 = 2(67 + W)$ .
Simplify the equation: Simplify the equation: $208 = 134 + 2W$ .
Solve for W: Solve for $W$ : $208 - 134 = 2W$ , so $74 = 2W$ .
Divide to find $W$ : Divide both sides by $2$ to find $W$ : $W = \frac{74}{2}$ , $W = 37$ .

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