Question

the perimeter of a rectangle is 42.6 feet. one side of the rectangle measures 6.4 feet. what is the length of the missing side?

Explanation:

Step1: Recall rectangle perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is length and $w$ is width.
Given $P = 42.6$ ft, one side $w = 6.4$ ft.

Step2: Isolate the sum of sides

Divide perimeter by 2:
$\frac{P}{2} = l + w$
$\frac{42.6}{2} = l + 6.4$
$21.3 = l + 6.4$

Step3: Solve for missing side

Substitute known value to find $l$:
$l = 21.3 - 6.4$

Answer:

14.9 feet