Melissa's service charge at a beauty salon
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Answer:
<em>The perimeter of given figure = 56.56 ft</em>
Step-by-step explanation:
<u>Step(i):-</u>
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
<u><em>Step(ii):-</em></u>
The semi circle is included in the given diagram
<em>Now we will find the perimeter of semicircle</em>
<em>We know that </em>
<em> perimeter of the circle </em>
<em> p = 2πr + d</em>
<em> perimeter of the semicircle</em>
<em> </em><em></em>
<em> P = πr + 2 r (∵ d = 2 r)</em>
<u><em>Step(iii):-</em></u>
<em> From diagram the diameter of semicircle is equal to the width of the rectangle </em>
<em> d = 8</em>
<em> d = 2 r = 8</em>
<em> The radius of the circle 'r' = 4 </em>
<em> perimeter of the semicircle</em>
<em> P = πr + 2 r </em>
<em> P = 3.14 ( 4) + 8</em>
<em> P= 20.56</em>
<u><em>Conclusion:-</em></u>
<em>The perimeter of given figure</em>
<em> = perimeter of rectangle + perimeter of semicircle</em>
= 36 + 20.56
=56.56 ft