Question

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.)

Answer 1

The answer to your question is 116.53 ft

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