Answer:
[tex]\huge\boxed{P\approx267.75m}[/tex]
Step-by-step explanation:
Look at the picture in the attachment.
x it's the quarter of the circle with the radius r = 75m.
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
Therefore
[tex]x=\dfrac{1}{4}\cdot2\pi r=\dfrac{1}{2}\pi r[/tex]
Substitute r = 75m:
[tex]x=\dfrac{1}{2}\pi\cdot75=37.5\pi(m)[/tex]
The PERIMETER of the shaded region:
[tex]P=2\cdot75+37.5\pi=(150+37.5\pi)m\\\\\pi\approx3.14[/tex]
substitute
[tex]P\approx150+37.5\cdot3.14=150+117.75=267.75(m)[/tex]
