Given:
The figure is given.
To find:
The Area of the figure.
Explanation:
Let us find the area of the triangle.
The base of the triangle is 7km.
The height of the triangle is 10km.
Using the area of the triangle formula,
[tex]\begin{gathered} A=\frac{1}{2}bh \\ =\frac{1}{2}\times7\times10 \\ A=35km^2 \end{gathered}[/tex]
Let us find the area of the bottom rectangle.
The length of the rectangle is 7km.
The breadth of the rectangle is 8km.
Using the area of the rectangle,
[tex]\begin{gathered} A=lb \\ =7\times8 \\ A=56km^2 \end{gathered}[/tex]
Let us find the area of the right side rectangle.
The length of the rectangle is 9km.
The breadth of the rectangle is 6km.
Using the area of the rectangle,
[tex]\begin{gathered} A=lb \\ =9\times6 \\ A=54km^2 \end{gathered}[/tex]
Summing up the areas we get,
[tex]\begin{gathered} A=35+56+54 \\ A=145km^2 \end{gathered}[/tex]
Therefore, the area of the figure is 145 square km.
Final answer:
The area of the figure is 145 square km.
