SOLUTION: Find the area of the composite figure if BCEF is a square, BCDG is a trapezoid, and AGB is a sector. https://ibb.co/gM4Z3rFG

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Question 1209963: Find the area of the composite figure if BCEF is a square, BCDG is a trapezoid, and AGB is a sector.
https://ibb.co/gM4Z3rFG

Answer by ikleyn(52781) About Me  (Show Source):
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Find the area of the composite figure if BCEF is a square, BCDG is a trapezoid, and AGB is a sector.
https://ibb.co/gM4Z3rFG
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Each triangle has the hypotenuse of 20 units (same as the radius) and one leg (horizontal) 
of 12 units.  Hence, each vertical leg is 16 cm (3-4-5 right angled triangle).


Hence, the area of the two triangles is  2%2A%281%2F2%29%2A12%2A16 = 192 square units.


The area of the square is  16%5E2 = 256 square units.


The area of the segment is  pi%2A20%5E2%2A%2847%2F360%29 = 3.14159%2A400%2A%2847%2F360%29 = 164.0608 square units.


The total area is the sum of parts  192 + 256 + 164.0608 = 612.0608 square units (approximately).    ANSWER

Solved.