A) 49 feet
ExplanationStep 1
find the x value:
the length of the rectangle is 16 ft, also the length is 4x+3, hence
[tex]16=4x+3[/tex]
Let's solve for x
[tex]\begin{gathered} 16=4x+3 \\ \text{subtract 3 in both sides} \\ 16-3=4x+3-3 \\ 13=4x \\ \text{divide both side by 4} \\ \frac{13}{4}=\frac{4x}{4} \\ x=\frac{13}{4} \end{gathered}[/tex]
Step 2
the perimeter of a rectangle isgiven by:
[tex]\text{Perimeter= 2(length+width)}[/tex]
replace
[tex]\begin{gathered} Perimeter=\text{ 2(16+(2x+2))} \\ Perimeter\text{= 2(18+2x)} \\ \text{Perimter}=\text{ 36+4x} \\ \text{replace the x value} \\ \text{Perimter}=\text{ 36+4}(\frac{13}{4}) \\ \text{Perimter}=36+13=49 \\ \text{hence} \\ \text{Perimeter = 49 f}eet \end{gathered}[/tex]
therefore, the answer is
A) 49 feet
I hope this helps you
