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15 April, 15:10

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.)

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  1. 15 April, 19:00
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    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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