9514 1404 393
Answer:
38.63 m
Step-by-step explanation:
The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.
The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...
d = √(4² +6²) = √52 ≈ 7.21 . . . meters
The straight line across the top is marked 9 meters.
The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...
semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m
The straight bottom edge of the figure is 4+9 = 13 m.
Then the sum of lengths around the figure is ...
7.21 m + 9 m + 9.42 m + 13 m = 38.63 m
The perimeter of the figure rounded to 2 decimal places is 38.63 meters.
