If area of a regular hexagon is 24 - 3 sq-cm- Find its side-

The area of a regular hexagon is 3 #8730;3a #178;/2 where a unit is the side of the regular hexagon. #8756;, 3 #8730;3a #178;/2=24 #8730;3or, (3/2)a ...

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Standard VI

Mathematics

Perimeter of a Triangle

If area of a ...

Question

If area of a regular hexagon is $24$ $\sqrt{3}$ sq.cm. Find its side.

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Solution

The area of a regular hexagon is 3√3a²/2 where a unit is the side of the regular hexagon.
∴, 3√3a²/2=24√3
or, (3/2)a²=24
or, a²=24×2/3
or, a²=16
or, a=4 cm (neglecting the negative sign)
∴, Perimeter of the regular hexagon is :
6a=6×4=24cm

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If area of a regular hexagon is 24 √3 sq.cm. Find its side.

The area of a regular hexagon is 3√3a²/2 where a unit is the side of the regular hexagon.∴, 3√3a²/2=24√3or, (3/2)a²=24or, a²=24×2/3or, a²=16or, a=4 cm (neglecting the negative sign)∴, Perimeter of the regular hexagon is :6a=6×4=24cm

If area of a regular hexagon is $24$ $\sqrt{3}$ sq.cm. Find its side.

The area of a regular hexagon is 3√3a²/2 where a unit is the side of the regular hexagon.
∴, 3√3a²/2=24√3
or, (3/2)a²=24
or, a²=24×2/3
or, a²=16
or, a=4 cm (neglecting the negative sign)
∴, Perimeter of the regular hexagon is :
6a=6×4=24cm