Question

What is the area of this figure?18 km7 km2 km9 km9 kmWrite your answer using decimals, if necessary.6 km

Answer 1

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.