Answer:
209.25 ft²
Step-by-step explanation:
The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.
__
triangle
The area formula is ...
A = 1/2bh
A = 1/2(6 ft)(10 ft) = 30 ft²
rectangle
The area formula is ...
A = bh
A = (14 ft)(10 ft) = 140 ft²
semicircle
The area formula is ...
A = 1/2πr² . . . . where radius r is half the diameter
A = 1/2(3.14)(5 ft)² = 39.25 ft²
total area
The sum of the areas of the parts is ...
total area = (30 +140 +39.25) ft² = 209.25 ft²
