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The perimeter of a rectangular park is $368$ yards. It is $63$ yards wide. How long is it? $\newline$ $\_\_\_\_$ yards

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Area and perimeter: word problems

Full solution

Q. The perimeter of a rectangular park is

368

yards. It is

63

yards wide. How long is it?

\newline

\_\_\_\_

yards

Identify Formula: Identify the formula for the perimeter of a rectangle. $\newline$ The formula for the perimeter $P$ of a rectangle is $P = 2(\text{length} + \text{width})$ .
Plug Values: Plug in the values of $P$ and the width into the formula. $\newline$ Given $P = 368$ yards and the width $= 63$ yards, we can write the equation as: $\newline$ $368 = 2(\text{length} + 63)$
Solve for Length: Solve for the length. $\newline$ First, divide both sides of the equation by $2$ to isolate the $(\text{length} + \text{width})$ term: $\newline$ $\frac{368}{2} = \frac{2(\text{length} + 63)}{2}$ $\newline$ $184 = \text{length} + 63$
Subtract to Find Length: Subtract the width from both sides of the equation to find the length. $\newline$ $184 - 63 = \text{length} + 63 - 63$ $\newline$ $121 = \text{length}$

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