Question

a restaurant manager needs to rope off a rectangular section for a private party. the length of the section must be 4.7 m. the manager can use no more than 17 m of rope. which inequality can be used to find the possible widths of the roped off section?
choose the correct answer below.
a. $9.4+w\geq17$
b. $4.7+w\leq17$
c. $9.4+2w\leq17$
d. $4.7+2w\geq17$

Explanation:

Step1: Recall rectangle perimeter formula

The perimeter of a rectangle is $P = 2L + 2W$, where $L$ is length and $W$ is width.

Step2: Substitute given length

Given $L = 4.7$, so $P = 2(4.7) + 2W = 9.4 + 2W$.

Step3: Apply rope limit condition

The total rope used (perimeter) cannot exceed 17 m, so $P \leq 17$. Substitute the perimeter expression: $9.4 + 2W \leq 17$.

Answer:

C. $9.4+2W\leq17$