Question

John is putting a fence around his garden that is shaped like a half circle and a rectangle.How much fencing will John need? Use for .32 ft39 ft46 ft57 ft

Answer 1

The perimeter of the garden = 46 ft

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)
`\pi` 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