ANSWER
66.3 m
Step-by-step explanation
We want to find the distance around the figure.
The figure is made up of a semi circle on a rectangle.
So, we have to find the perimeter of the semi circle (without adding the diameter) and the rectangle, but we will subtract 18 m from the perimeter of the rectangle since the person running does not run across that length.
The perimeter (circumference) of the semi-circle (without adding its diameter) is given as:
C = πr
where r = radius
The diameter of the semi-circle is 18 m, so its radius is:
r = D / 2 = 18 / 2
r = 9 m
So, the circumference is:
C = π * 9
C = 28.3 m
The perimeter of the rectangle is given as:
P = 2(L + B)
where L = length and B = breadth
So, the perimeter is:
P = 2(18 + 10) = 2 * 28
P = 56 m
Now, subtract 18 m:
P = 56 - 18
P = 38 m
Now, add the two of them:
P = 28.3 + 38
P = 66.3 m
So, if you run around the figure, you are traveling 66.3 m.