Answer :
Answer:
The perimeter of the garden = 46 ft
Step-by-step explanation:
The exact question is as follows :
Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.
A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.
To find - How much fencing will John need? Use 22 over 7 for Pi.
A. 32 ft
B. 39 ft
C. 46 ft
D. 57 ft
Solution -
The figure is as follows :
The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle
Now,
Given that,
Length of Rectangle = 14 feet
Breadth of Rectangle = 7 feet
Now,
Sum of three sides of Rectangle = 14 + 14 + 7
= 35
Now,
Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter
So,
Circumference of Semicircle = (1/2)(22/7)(7)
= 11
⇒Circumference of Semicircle = 11
So,
The perimeter of the garden = 35 + 11
= 46 ft
⇒The perimeter of the garden = 46 ft
