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The area of a regular hexagon is 1500 square centimeters. What is its perimeter?

Answer 1

Aurora Ayala

#=144.18 cm#

The formula for area of a hexagon is

area #color(blue)(=(3sqrt3)/2 xx (side) ^2#

The area given #=color(blue)(1500 cm^2# , equating the same

#(3sqrt3)/2 xx (side) ^2= 1500#

#(side) ^2= 1500 xx 2/(3sqrt3)#

(note :#sqrt3=1.732#)

#(side) ^2= 1500 xx 2/(3xx1.732)#

# 1500 xx 2/(5.196)#

#= 3000/(5.196)#

#= 577.37#

side#= sqrt577.37#

the side #= 24.03cm #

Perimeter of the hexagon (six sided figure) = #6 xx side#

Perimeter of the hexagon = #6 xx 24.03#

#=144.18 cm#

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Answer 2

Ella Armstrong

To find the perimeter of a regular hexagon, you can use the formula:

Perimeter = 6 * side length

Given that the area of the regular hexagon is 1500 square centimeters, you can use this information to find the side length:

Area = (3√3 / 2) * side length^2

After rearranging the formula and solving for side length:

Side length = √(Area / (3√3 / 2))

Substitute the given area:

Side length = √(1500 / (3√3 / 2))

Calculate the side length:

Side length ≈ 19.364 cm

Now, use the side length to find the perimeter:

Perimeter = 6 * 19.364 cm

Perimeter ≈ 116.184 cm

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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.