To find the area of the field, divide the shape of the field in simpler shapes.
In this case, the field can be divided in a rectangle and 2 semi circles that together form one circle. In that case, find the areas of both shapes and then find the sum of them to find the area of the field:
![\begin{gathered} A=b\cdot h \\ A=50\cdot100 \\ A=5000 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/phstay8zcuy5vi3bk1sdux36q32kq7l1pl.png)
![\begin{gathered} A=\pi\cdot r^2 \\ A=\pi((50)/(2))^2 \\ A=625\pi \\ A=1963 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r92hk4jzjzg831276u5eg622kyj1sck682.png)
![A=5000+1963=6963](https://img.qammunity.org/2023/formulas/mathematics/college/chfdrgi82zzvl6sh7equjclxtf7ru615dr.png)
The area of the field is 6963 yd^2.