Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
Quadrant with radius 16 inches and angle 90° .
[tex]\text{Length of an arc of quadrant}=\frac{\theta}{360\textdegree}2\times \pi \times r\\\\\text{Length of an arc of quadrant}=\frac{1}{4}\times 2\times 3.14\times 16\\\\\text{Length of an arc of quadrant}=25.12[/tex]
Since there are two quadrants:
So, Perimeter of quadrants is given by
[tex]25.12\times 2\\\\50.24\ in.[/tex]
Perimeter of this figure is given by
[tex]50.24+16+16+16+16\\\\=114.24\ in[/tex]
Hence, Second Option is correct.
