We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.
Remember that for a circle of diameter D, the perimeter or circumference is:
p = pi*D
where pi = 3.14
So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.
Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10
Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:
C = (1/2)*3.14*10 = 15.7
And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:
Perimeter = 15.7 + 10 + 10 = 35.7
If you want to learn more, you can read:
https://brainly.com/question/9350935
