Question

After football season, a landscaper needs to reseed the field shown in thefigure. A 2 lb bag of seed covers 500 ft?. If the landscaper cannot buy partialbags of seed, determine the number of 2 lb bags of seed the landscapermust buy.

Answer 1

First we need to find the area of the field

we find the area of the rectangle

$\begin{gathered} A=l\times w \\ A=75\times200 \\ A=15000 \end{gathered}$

now find the area of the half circle, if we join them is a circle

$\begin{gathered} A=\pi\times r^2 \\ A=\pi\times(\frac{75}{2})^2 \\ \\ A=1406.25\pi \end{gathered}$

now sum the areas to find the total area of the field

$\begin{gathered} 15000+1406.25\pi \\ \approx19417.86 \end{gathered}$

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)

$\frac{19417.85}{500}\approx38.83$

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