First we need to find the area of the field
we find the area of the rectangle
[tex]\begin{gathered} A=l\times w \\ A=75\times200 \\ A=15000 \end{gathered}[/tex]
now find the area of the half circle, if we join them is a circle
[tex]\begin{gathered} A=\pi\times r^2 \\ A=\pi\times(\frac{75}{2})^2 \\ \\ A=1406.25\pi \end{gathered}[/tex]
now sum the areas to find the total area of the field
[tex]\begin{gathered} 15000+1406.25\pi \\ \approx19417.86 \end{gathered}[/tex]
total area is 19417.85 square ft
Now to find the number of 2lb bags
we divide the whole area between the cover of a 2lb bag (500squareft)
[tex]\frac{19417.85}{500}\approx38.83[/tex]
we need 38.83 bags of seed to cover the field, as we cannot buy partial bags we must buy 39 bags to cover the field
