What is the area of the composite figure?

9514 1404 393Answer:   141 units squaredStep-by-step explanation:Dashed lines have been added to the figure to help you see one way to cut it into manageable pieces.Triangle BCD has a base BD of 10 units and a height CD of 6 units. Its area is ...   A = 1/2bh   A = 1/2(10)(6) = 30 . . . square unitsSquare BEFG has sides of length 6. Its area is ...   A = s²   A = 6² = 36 . . . square unitsTrapezoid AGHI has bases of 14 and 16, and a height of 5. Its area is ...   A = 1/2(b1 +b2)h   A = 1/2(14+16)(5) = 75 . . . square unitsThe total area is the sum of the parts:   total area = triangle area + square area + trapezoid area   total area = 30 + 36 + 75   total area = 141 . . . square units