Question

If the area of the hexagon is 24√3 cm square find its perimeter

Answer 1

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Answer 2

Step-by-step explanation:

The area of a regular hexagon is : 3

$3 \sqrt{3a {}^{2} } \div 2$

where unit 'a'is the side of the regular hexagon

3 root 3a²/2=24 root 3

3/2a²=24 root 3/root 3 (Root 3 gets cancelled)

3/2a²=24

a²=24*2root 3

a²=48root 3

a²=16

a=4cm (neglecting the negative sign)

Hence Perimeter of a regular hexagon is :6a=6*4=24cm....

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