Perimeter of the figure is?

Relevant wiki: Circles - Circumference

Formula: $\color{#3D99F6}circumference=2 \pi r$ where $r$ is the radius of the circle

let $a$ be the length of the blue quarter circle and $b$ be the length of the green semi circle

then

$a=2 \left(\dfrac{22}{7}\right)(14)\left(\dfrac{1}{4}\right)=22$ note: it was multiplied by $\dfrac{1}{4}$ since it is a quarter circle

$b=2 \left(\dfrac{22}{7}\right)(7)\left(\dfrac{1}{2}\right)=22$ note: it was multiplied by $\dfrac{1}{2}$ since it is a semi circle

thus, the desired perimeter is

$P=a+b+14=22+22+14=\color{#D61F06}\boxed{58~cm}$