Question

What is the area of this figure?6 in9 in4 in4 in8 in16 in11 in9 inWrite your answer using decimals, if necessary.square inches

Answer 1

Given:

The figure is given.

To find:

The area of the figure.

Step-by-step explanation:

Let us find the area top rectangle.

The length of the rectangle is 4 in.

The breadth of the rectangle is 9 in.

Using the area formula of the rectangle,

`\begin{gathered} A=lb \\ =4*9 \\ A=36in^2 \end{gathered}`

Now, let us find the area of the middle rectangle.

The length of the rectangle is 8 in.

The breadth of the rectangle is 6 in.

Using the area formula of the rectangle,

`\begin{gathered} A=lb \\ =8*6 \\ A=48in^2 \end{gathered}`

Now, let us find the area of the triangle.

The base is 9 in.

The height is 16 in.

Using the area formula of the triangle,

`\begin{gathered} A=(1)/(2)bh \\ =(1)/(2)*9*16 \\ A=72in^2 \end{gathered}`

Therefore, the area of the shaded region is,

`\begin{gathered} A=36+48+72 \\ A=156in^2 \end{gathered}`

Final answer:

The area of the shaded region is 156 square inches.