If ABCDEF is a hexagon where BC is 17cm and distance between A and D is 33cm. Find the area of hexagon.
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Answer:
750 cm2
Step-by-step explanation:
Assuming it's a regular hexagon
Area of hexagon = 2 * Area of Trapezium (ABCD)
Now ,
Area of Trapezium = ( a + b )/2 * h
Here ,
a = 17 cm , b = 33 cm , h = ?
For calculating h , ( which is the perpendicular distance between AD and BC )
h^2 = 17^2 - [( 33 - 17 ) / 2]^2 = 225
h = 15
therefore ,
area of the hexagon =( 33 + 17) * 15 = 50 * 15 = 750 cm^2
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