Answer:
Area of the figure = 31.25π cm²
Perimeter of the figure = (12.5Ï€ + 10) cm
Step-by-step explanation:
Area of the given figure = Sum of area of the two semicircle + area of a quarter circle
Area of one quarter circle (CDE) = [tex]\frac{1}{4}(\pi r^{2})[/tex]
                           = [tex]\frac{1}{4}\pi (5)^2[/tex]
                           = 6.25π
Area of one semicircle = 2 × Area of one quarter circle
                   = 2(6.25π)
                   = 12.5π
Area of the given figure = 2×12.5π + 6.25π
                    = 25π + 6.25π
                    = 31.25π cm²
Perimeter of the figure = Perimeter of two semicircles + perimeter of one quarter circle + measure of radius DE + measure of radius AB
Perimeter of one semicircle = πr
                       = 5π cm
Perimeter of one quarter circle = 2.5Ï€
Perimeter of the complete figure = 10Ï€ + 2.5Ï€ + 5 + 5
                            = (12.5π + 10) cm
