1 Answer

Thomas Makos · Answer 1 · 2023-10-17T13:24:21+0000

Given:

The figure is given.

To find:

The Area of the figure.

Step-by-step 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,

$\begin{gathered} A=(1)/(2)bh \\ =(1)/(2)*7*10 \\ A=35km^2 \end{gathered}$

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,

$\begin{gathered} A=lb \\ =7*8 \\ A=56km^2 \end{gathered}$

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,

$\begin{gathered} A=lb \\ =9*6 \\ A=54km^2 \end{gathered}$

Summing up the areas we get,

$\begin{gathered} A=35+56+54 \\ A=145km^2 \end{gathered}$

Therefore, the area of the figure is 145 square km.

Final answer:

The area of the figure is 145 square km.

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