The perimeter of the given quarter circle is 24.997 cm.
Explanation:
Step 1:
The perimeter of a circle is 2π times its radius.
The given figure is only a quarter circle so we divide the entire circle's perimeter by 4 to get this figures circular portions perimeter and add it with the lengths of the two sides of the quarter circle.
The perimeter of a circle

Step 2:
The given circle has a radius of 7 cm and we take

The perimeter of the full circle

The perimeter of the circular portion
cm.
The two sides measure 7 cm each.
So the perimeter of the given figure
cm.