A rose garden is formed by joining rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 21 ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for n, and do not round your answer.)

The answer to your question is 116.53 ft

Step-by-step explanation:

Data

length = 29 ft

width = 21 ft

π = 3.14

Process

1. - Calculate perimeter of the rectangle and subtract 1 length

Perimeter of the rectangle = 2l + 2w - l

Perimeter of the rectangle = 2 (29) + 2 (21) - 29

= 58 + 42 - 29

= 71 ft

2. - Calculate the perimeter of a semicircle

Perimeter = 2πr/2 = πr

radius = r = 29/2

= 14.5 ft

Perimeter = (3.14) (14.5)

= 45.53 ft

3. - Calculate the total length of the fence

fence = 45.53 + 71

= 116.53 ft