Answer:
517 sq. cm
Step-by-step explanation:
Area of the figure = area of triangle + area of semicircle
Area of semi circle = πr²/2
Area of semi circle = 3.14*15²/2
Area of semi circle = 353.25 sq.cm
Area of the triangle = a/2 * base * height
Base = 30cm
Height h² = 39² - 15²
h² = 1521 - 225
h² = 1296
h = 10.90cm
Area of triangle = 1/2 * 10.90 * 30
Area of triangle = 15 * 10.90
Area of triangle = 163.5 sq. cm
Area of figure = 353.25 + 163.5
Area of figure = 516.75 sq. cm
Area of figure = 517 sq. cm
