Answer:
\(61.27\ cm\)
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a quarter circle
so
Find the perimeter of the rectangle
The perimeter of rectangle is equal to
\(P=2(L+W)\)
we have
\(L=20\ cm\)
\(W=2\ cm\)
substitute
\(P=2(20+2)=44\ cm\)
Find the circumference of a quarter circle
\(C=\frac{1}{4}2\pi r\)
we have
\(r=11\ cm\)
substitute
\(C=\frac{1}{4}*2*(3.14)*(11)=17.27\ cm\)
Find the perimeter of the figure
\(44\ cm+17.27\ cm=61.27\ cm\)
