Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]