Answer:
[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]
Step-by-step explanation:
In the figure attached, map shows the dimensions of the 5 counties in a Midwestern state.
Adams county has the triangular boundaries.
Since area of triangle is represented by the expression [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]
Base represents the boundary of county Harding touching Adams = 18 mi.
Height represents the boundary of county Lincoln touching Adams = 10 mi
Therefore, expression representing the area of Adams county will be
[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]
= [tex]\frac{1}{2}18\times 10[/tex]
= 90 square miles.
