QUESTION: How much fencing will john need?
Answer:
The amount of fencing John will require is 46ft.
Step-by-step explanation:
The diameter of the circular part is [tex]d =7ft[/tex]; therefore, the distance around it will be half the circumference of the circle:
The circumference is
[tex]C =2\pi \dfrac{d}{2} = 2 \pi[ \dfrac{7ft}{2} ][/tex]
[tex]C = pi[ \dfrac{7ft}{2} ] = \dfrac{22}{7}*7ft = 22ft[/tex]
and half of this is
[tex]\dfrac{C}{2} = \dfrac{22ft}{2} = 11ft[/tex].
And the distance around the rectangular part is (counting only three sides)
[tex]D =14ft+14ft+7ft \\\\D =35ft.[/tex]
Therefore, the total distance around the garden is
[tex]11ft+ 35ft = 46ft[/tex].
Thus, the amount of fencing John will require is 46ft.
