Answer:
perimeter=28.85 cm
Step-by-step explanation:
Hello, I can help you with this
in this case, in this case it is posible divide the area into 2 more known shapes, a rectangle and a semicircle
let's remember
the area of a rectangle is given by
[tex]A_{r}=base*heigth\\[/tex]
the area of a semicircle is given by
[tex]A_{semicircle}=\frac{Area\ of\ the\ circle}{2}\\A_{semicircle}=\frac{\frac{\pi *(diameter)^{2} }{4} }{2}\\ \\A_{semicircle}={\frac{\pi *(diameter)^{2} }{8}[/tex]
so, the total area is
[tex]A_{total}=A_{rectangle}+A_{semicircle}\\A_{total}=(base*heigth) + \frac{\pi *(diameter)^{2} }{8}[/tex]
Step one
Let
base=5 cm
heigth=8 cm
diameter of the circle=5 cm
Step 2
put the values into the equation
[tex]A_{total}=(base*heigth) + \frac{\pi *(diameter)^{2} }{8}\\A_{total}=(5*8) + \frac{3.14 *(5)^{2} }{8}\\A_{total}=(40) + \frac{3.14 *(25) }{8}\\A_{total}=(40) + \frac{78.5 }{8}\\A_{total}=49.8125[/tex]
so, the total area is 49.81215 square centimeters
to find the perimeter you must add the sides of the rectangle
it is
perimeter of the rectangle =8+8+5=21 cm
now, the perimeter of the semicircle is =pi* radius
Perimeter=(3.14*diameter)/2
Perimeter=(3.14*5)/2
Perimeter=7.85
so, the total perimeter is =21 cm+7.85
total perimeter=28.85
Have a good day.
