6. Find the area of a regular hexagon of side 5 cm given below in Fig. 13.23, using the formula for area of trapezium
Answers
Given : Hexagon of side 5cm given in below fig. 13.23
To Find : area of a regular hexagon using the formula of area of trapezium
Solution:
AF = CD = 5 cm
BE = 11 cm
Height of Each trapezium = 8/2 = 4 cm
Area of Trapezium = (1/2)( Sum of parallel Sides ) * Distance between Sides
Area of Trapezium BEDC = (1/2)(BE + DC) * height
= (1/2) (11 + 5) * 4
= (1/2) * 16 * 4
= 32 cm²
Similarly Area of Trapezium AFEB = 32 cm²
Area of Hexagon = 32 + 32 = 64 cm²
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