# The perimeter of a square is at the most 22 feet . Let n represent the length of one side of the sqaure . Write an inequality that represent the situation Of the length 2.5 ft , 4.8 ft, 5.2 ft, 5.8 ft, 6 ft, which could be the side length of the square?

Jan 30, 2018

The inequality is $4 n \le 22$

The possible side lengths are
$2.5$ ft
$4.8$ ft
$5.2$ ft

#### Explanation:

The perimeter is the sum of all four sides.

Therefore, the total of the four sides ($n$) must be
$\text{less" "than" or "equal" "to}$  $22$ $\text{feet}$

$4 n \le 22$

$\textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots .}$ . . . . . . . . . . . . .

The perimeter total can't be greater than $22$ feet, so each side $n$ must be no greater than $5.5$ feet
$22 \div 4 = 5.5$

Of the given choices, all the lengths ($n$) that are less than $5.5$ could be the side length of the square:

$2.5$ ft
$4.8$ ft
$5.2$ ft