Answered

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A rose garden is formed by joining a rectangle and a semicircle. The rectangle is 28 ft long and 18 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 pie and do not round your answer

Sagot :

Given :

length = 28

width = 18

Shape of garden is:

So the perimeter of garden is:

[tex]=\text{length of rectangle +width+length+perimeter of half circle}[/tex]

for half circle :

[tex]\text{perimeter of circle =}2\pi r[/tex]

so

[tex]\begin{gathered} \text{perimeter of half circle =}\frac{2\pi r}{2} \\ =\pi r \end{gathered}[/tex]

Radius of circle is half of width that is 9

[tex]\begin{gathered} =\pi r \\ =9\pi \\ =9\times3.14 \\ =28.26 \end{gathered}[/tex]

So fence length of the garden is:

[tex]\begin{gathered} =28+18+28+28.26 \\ =102.26 \end{gathered}[/tex]

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