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A regular hexagon has an area of approximately
20 square centimeters. If the apothem measures
2.4 centimeters, find the approximate length of
each side.

Sagot :

Answer:

The side is approx 2.78cm

Step-by-step explanation:

There is an area formula for regular polygons that uses the apothem:

A = 1/2•a•s•n

a is the apothem.

s is the side length.

n is the number of sides.

The area, A is given and also the apothem is given, as well as the number of sides.

The shape in your problem is a hexagon, so it has 6 sides.

A = 1/2 asn

20 = 1/2(2.4)s(6)

Multiply.

20 = 7.2s

Divide.

20/7.2 = s

2.78 = s

s = 2.78

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