Find the area of the composite figure.

Area of composite figure = 623.25 cm²

Step-by-step explanation:

Given:

Equal side of triangle = 39 cm

Diameter of semi-circle = 30 cm

Base of triangle = 30 cm

Find;

Area of composite figure

Computation:

Radius of triangle = 30 / 2

Radius of triangle = 15 cm

Height of triangle = √39² - 15²

Height of triangle = √1,521 - 225

Height of triangle = 36 cm

Area of composite figure = Area of semi-circle + Area of triangle

Area of composite figure = [πr² / 2] + [(1/2)(b)(h)]

Area of composite figure = [(3.14)(15)² / 2] + [(1/2)(15)(36)]

Area of composite figure = [(3.14)(225) / 2] + [(15)(18)]

Area of composite figure = [706.5 / 2] + [270]

Area of composite figure = 353.25 + 270

Area of composite figure = 623.25 cm²