Given:
There are given the figure to find the value of area and perimeter.
Explanation:
According to the question:
We need to find the area and perimeter of the shaded region.
Then,
We can see that in the given figure:
The shaded figure is 2 units long and 4 units wide.
That means:
[tex]\begin{gathered} L=2 \\ W=4 \end{gathered}[/tex]
Then,
First, we need to find the area of the given shaded figure:
So,
[tex]A=L\times W[/tex]
Then,
Put all the values into the given formula:
So,
[tex]\begin{gathered} A=L\times W \\ A=2units\times4units \\ A=8units^2 \end{gathered}[/tex]
Now,
We need to find the perimeter of the given shaded figure.
So,
From the formula of the perimeter of the shaded figure:
[tex]P=2(L+W)[/tex]
Then,
Put all the values into the given formula:
So,
[tex]\begin{gathered} P=2(L+W) \\ P=2(2+4) \\ P=2(6) \\ P=12units \end{gathered}[/tex]
Final answer:
Hence, the value of the area and perimeter of the given shaded regions are shown below:
[tex]\begin{gathered} Area=8units^2 \\ Peremeter=12units \end{gathered}[/tex]
