1.

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.

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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