Perimeter of the given figure will be 38 units.
Given in the question,
Measures of three linear sides as 5, 10, 10, 5 units.Radius of the circular part = 5 units
Perimeter of a polygon = Measure of the circumference of the polygon
From the figure attached,
Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle
Measure of linear sides = 5 + 10 + 10 + 5 = 30 units
Circumference of the quarter circle =
                              =
                              = 7.85 units
Perimeter of the figure = 30 + 7.85
                   = 37.85
                   ≈ 38 units
  Therefore, perimeter of the given figure will be 38 units.
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