to find the perimeter
start by calculating perimeter of the portion of the circle using the formula
[tex]s=r\cdot\Theta[/tex]
remember that theta must be in radians which means that 90° must be written as pi/2
[tex]\begin{gathered} s=5\cdot\frac{\pi}{2} \\ s=7.854 \\ s\approx8 \end{gathered}[/tex]
now add it with the rectangle portion
[tex]\begin{gathered} P=10+10+5+5+8 \\ P=38 \end{gathered}[/tex]
Now in order to find the area start by calculating the area por 3 squares that has a side of 5
[tex]\begin{gathered} Asquares=3\cdot5\cdot5 \\ Asquares=75 \end{gathered}[/tex]
In order to find the area for the portion of the circle use the formula for the area
[tex]A=\frac{\pi\cdot r^2\cdot n}{360}[/tex]
where n is the portion of the angle
[tex]\begin{gathered} Acircle=\frac{\pi\cdot(5^2)\cdot90}{360} \\ Acircle=19.634 \\ Acircle=20 \end{gathered}[/tex]
Add the area of the squares and the circle
[tex]\begin{gathered} Atotal=75+20 \\ Atotal=95 \end{gathered}[/tex]
