Semicircle area
a = 1/2 × area of circle
a = 1/2 × π × r²
Triangle area
a = 1/2 × b × h
With the formula above, input the numbers which are given in the question
Semicircle area
a = 1/2 × π × r²
a = 1/2 × 3.14 × 5²
a = 1/2 × 3.14 × 25
a = 39.25 cm²
Triangle area
a = 1/2 × b × h
a = 1/2 × 5 × 4.5
a = 1/2 × 22.5
a = 11.25 cm²
Combining the area
a = semicircle area + triangle area
a = 39.25 + 11.25
a = 50.5 cm²
the closest area is fourth option