Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle. A rectangle with length 28 feet and width 14 feet. A semicircle with diameter 14 feet is on top of the rectangle. How much fencing will Jordana need? Use StartFraction 22 over 7 EndFraction for Pi. 64 ft 86 ft 92 ft 114 ft

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07-05-2020
Mathematics

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Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle. A rectangle with length 28 feet and width 14 feet. A semicircle with diameter 14 feet is on top of the rectangle. How much fencing will Jordana need? Use StartFraction 22 over 7 EndFraction for Pi. 64 ft 86 ft 92 ft 114 ft

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JeanaShupp JeanaShupp · Answer 1 · 2020-05-11T19:29:17+02:00

Answer: Jordana will need 92 feet of fencing

Step-by-step explanation:

Given: Length of rectangle = 28 feet

Width of rectangle = 14 feet

Diameter of semicircle = 14 feet

Therefore radius of semicircle : r = [tex]\dfrac{Diamater}{2} =\dfrac{AB}{2} =\dfrac{14}{2} =7 \text { feet }[/tex]

Now we have to find the perimeter of attached figure for putting fence around a garden

[tex]Perimeter = 2 Length +Width + \text {Circumference of semicircle }\\\\\Rightarrow Perimeter = 2\times AD+DC + \pi r\\\\\Rightarrow Perimeter = 2\times 28+14 +\dfrac{22}{7} \times 7 \\\\\Rightarrow Perimeter = 56+14+22 = 92 \text {feet}[/tex]

Hence, jordana will need 92 feet of fencing

alyssa2481 alyssa2481 · Answer 2 · 2020-05-11T21:34:02+02:00

alyssa2481 alyssa2481

11-05-2020

The answer is C which is 92 ft.

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