Answer :

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

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.

Learn more about perimeter at https://brainly.com/question/397857

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