Find the area of a regular hexagon if its perimeter is 60 cm?

Answer 1

#color(crimson)(A = 259.81# #sq. cm#

A regular hexagon is a six sided polygon with all six sides equal in measure.

Let ‘a’ be the measure of one side.

Perimeter of hexagon #P = 6 * a = 60 # #cm#
#a = 60/6 = 10# #cm#

Hexagon consists of six equilateral triangles and

Formula for area of hexagon #A = 6 * (sqrt3/4) * a^2#
#A = (6 * sqrt 3 * 10^2) / 4= (600*sqrt3) / 4 #
#A = 150 * sqrt3 = color (crimson)(259.81# #color(crimson)(sq. cm#
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Answer 2

The area of a regular hexagon can be calculated using the formula: ( \frac{3\sqrt{3}}{2} \times s^2 ), where s is the length of one side of the hexagon.

Given that the perimeter of the hexagon is 60 cm, each side will be ( \frac{60}{6} = 10 ) cm.

Substituting the value of s into the formula, the area of the regular hexagon is:

[ \frac{3\sqrt{3}}{2} \times 10^2 = \frac{3\sqrt{3}}{2} \times 100 = 150\sqrt{3} , \text{cm}^2 ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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