Question

A rectangular corn field and a rectangular soybean field share a common side, as shown in the diagram. Field S, the soybean field, is 90 feet long and 75 feet wide. The combined area of the fields is 10,500 square feet. Select a equation for each blank to make the sentence true.

Answer 1

The equation can be written as,

`75(x+90)=10500`

The missing side of the field can be determined as,

`\begin{gathered} 75(x+90)=10500 \\ (x+90)=140 \\ x=50 \end{gathered}`

Thus, the required value of the length of the field is 50 ft.