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Each side of the hexagon ABCDEF has side of length 5 cm as given in the figure. Riya and Riema And the area of the region by dividing it into two parts in two different manner. Compare the area in both the case. |
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Answer» Ria’s Method Area of hexagonal shape ABCDEF = Area of ∆AFE + Area of rectangle ∆EDB + Area of ∆BCD = 1/2 x 8 x 3 + 8 x 5 + 1/2 x 8 x 3 = 12 + 40 + 12 = 64 cm2 Raima’s Method Area of hexagonal shape ABCDEF = Area of trapezium ABCF + Area of trapezium FCDE = 1/2 x (5 + 11) x 4 + 1/2 x (5 + 11) x 4 = 32 + 32 = 64 cm2 Hence, both areas are same. |
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