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V125BC [204]
3 years ago
14

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 th

e 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.)
Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

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

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-----------------------------------------------------------------------------------------------------------

       ∑x_{i} =                 ∑y_{i} =              ∑x_{i} y_{i}=               ∑x_{i}^{2} y_{i}^{2}=             ∑y_{i} ^{2}=      

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-------------------------------------------------------------------------------------------------------------

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Step-by-step explanation:

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