Question

Be sure to include the correct unit in your answer

Answer 1

Answer:

The fence required is:

`388.3125ft^2`Step-by-step explanation:

For the farmer to build an accurate fence, he needs to know the area of the rose garden. The area is the sum of the area of the rectangle and the area of the semicircle.

The area of the rectangle is:

`\begin{gathered} A=wl \\ =15ft*20ft \\ =300ft^2 \end{gathered}`

The area of the semicircle is:

`\begin{gathered} A=(\pi)/(2)r^2 \\ \\ \text{Where r is the radius }=(15)/(2)=7.5ft,\pi=3.14 \\ \\ A=(3.14)/(2)(7.5)^2=88.3125ft^2 \end{gathered}`

The area of the rose garden is:

`300ft^2+88.3125ft^2=388.3125ft^2`