Question

find the area of the hexagonal room with each side 3m

Answer 1

Given:

The hexagonal room with each side 3 m

To find:

The area of the hexagonal room

Solution:

To solve the given problem we will use the following formula of area of the hexagon:

$\boxed{\bold{Area \:of\:a\:hexagona = \frac{3\sqrt{3} }{2} \:a^2 }}$

The dimension of each side of the hexagonal room:

Side (a) = 3 m

Now, on substituting the given value of a in the formula above, we get

The area of the hexagonal room is,

= $\frac{3\sqrt{3} }{2} \:(3)^2$

= $\frac{3\sqrt{3} }{2} \:\times \:9$

= $\frac{27\sqrt{3} }{2}$

= $\frac{46.76}{2}$

=  $\bold{23.38 \: m^2}$

Thus, the area of the hexagonal room with each side of 3 m is →

23.38 m².

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