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The hexagon ABCDEF is regular. That means all its sides are of the same length and all its interior angles are of the same size. Each side of the hexagon is 2 m. What is the area of the rectangle BCEF?
  • a)
    4 sq.m
  • b)
    4√3 sq.m
  • c)
    8 sq.m
  • d)
    4 + 4√3 sq.m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The hexagon ABCDEF is regular. That means all its sides are of the sam...

A regular hexagon comprises six equilateral triangles - each of side 2 m, the measure of the side of the regular hexagon - as shown above. The 6 triangles are numbered 1 to 6 in the figure shown above.

BX is the altitude of triangle 1 and XF is the altitude of triangle 2.
Both triangle 1 and triangle 2 are equilateral triangles.

Hence, BX = XF = 
Therefore, BF, the length of the rectangle = 2√3 M
Hence, the area of the rectangle BCEF = length * width =  2√3 * 2 = 4 √3 sq. m
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The hexagon ABCDEF is regular. That means all its sides are of the same length and all its interior angles are of the same size. Each side of the hexagon is 2 m. What is the area of the rectangle BCEF?a)4 sq.mb)4√3 sq.mc)8 sq.md)4 + 4√3 sq.mCorrect answer is option 'B'. Can you explain this answer?
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