Answer:
745.44 mm² (nearest hundredth)
Step-by-step explanation:
Section the shape into a semicircle, a rectangle and a triangle by drawing a line vertically through the point, and a vertical line upwards from the corner of the 12.5 mm and 32.5 mm corner.
area of semicircle = (1/2) [tex]\pi[/tex]r² = 78.125[tex]\pi[/tex] mm²
area of the rectangle = 12.5 x 25 = 312.5 mm²
area of triangle = 1/2 x (55 - 25) x 12.5 = 187.5 mm²
total area = 312.5 + 78.125[tex]\pi[/tex] + 187.5 = 745.44 mm² (nearest hundredth)
