Answer:
[tex]\large\boxed{P=(3\pi+4)\ ft}[/tex]
Step-by-step explanation:
We have 3/4 of a circle and the square.
The perimeter is equal to the sum of a 3/4 of a circumference of a circle and two sides of a square.
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 2 ft. Substitute:
[tex]C=2\pi(2)=4\pi\ ft[/tex]
3/4 of a circumference:
[tex]\dfrac{3}{4}\cdot4\pi=3\pi\ ft[/tex]
The length of a side of a square is a = 2ft.
Calculate the perimeter:
[tex]P=3\pi+(2)(2)=(3\pi+4)\ ft[/tex]
