Find the area of the polygon in the adjoining figure.
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107 cm^2
Step-by-step explanation:
Area of triangle = 1/2 × b × h
Area of trapezium = 1/2 × h × ( a + b )
Area of triangle AEF = 1/2 × 5 × 7
= 35/2 = 17.5
Area of triangle DGE = 1/2 × 3 × 9
= 27 /2 = 13.5
Area of triangle DGC = 1/2 × 3 × 11
= 33/2 = 16.5
Area of triangle BCH = 1/2 × 5 × 7
= 35/2 = 17.5
Area of trapezium ABHF = 1/2 × 8 × ( 7 + 5 )
= 1/2 × 8 × 12 = 96/2 = 42
Area of the polygon = 17.5 + 13.5 + 16.5 + 17.5 + 42
= 107 cm^2.
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