Question

the perimeter of a rectangle is 47.4 inches. one side measures 16.6 inches. what is the length of the missing side?

Explanation:

Step1: Recall rectangle perimeter formula

The perimeter of a rectangle is given by $P = 2(l + w)$, where $P$ is perimeter, $l$ is length, $w$ is width.

Step2: Plug in known values

Substitute $P = 47.4$ and $l = 16.6$:
$47.4 = 2(16.6 + w)$

Step3: Isolate the term with $w$

Divide both sides by 2:
$\frac{47.4}{2} = 16.6 + w$
$23.7 = 16.6 + w$

Step4: Solve for $w$

Subtract 16.6 from both sides:
$w = 23.7 - 16.6$

Answer:

7.1 inches