what's the perimeter of a regular polygon whose area is 64 & whose apothem is 4?

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15-03-2015
Mathematics

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what's the perimeter of a regular polygon whose area is 64 & whose apothem is 4?

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otiliopatino otiliopatino · Answer 1 · 2015-03-15T22:51:19-04:00

otiliopatino otiliopatino

15-03-2015

Area = 1/2(apothem*perimeter)
64=1/2(4*P)
64=1/2*4/1*P
one half times 4 over one
64=4/2*P
or
64=2*P
divide both sides by 2
32=P
perimeter =32

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yogeshkumar49685 yogeshkumar49685 · Answer 2 · 2022-07-28T12:53:29-04:00

If the area of regular polygon is 64 and apothem is 4 then the perimeter of a regular polygon is 16 units.

What is perimeter?

Perimeter of a figure is sum of lengths of all sides of figure. Regular polygon is a polygon having all sides equal to each other.

How to find perimeter?

We have been given area is 64 and apothem of a regular polygon is 4 and we have to find the perimeter of regular polygon.

Area=apothem*perimeter

64=4*perimeter

Perimeter=64/4

=16 units.

Hence if the area of regular polygon is 64 and apothem is 4 then the perimeter of a regular polygon is 16 units.

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