Find the length of each side of a regular pentagon and a regular hexagon if the perimeters of both are $240 m .$

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Solution

The perimeter of the regular pentagon $= 240 m$
The perimeter of the regular pentagon $= 5 \times s i d e$
$240 = 5 \times s i d e s i d e = \frac{240}{5} s i d e = 48$
Hence the side of the regular pentagon $= 48 m$
The perimeter of the regular Hexagon $= 240 m$
The perimeter of the regular hexagon $= 6 \times s i d e$
$240 = 6 \times s i d e s i d e = \frac{240}{6} s i d e = 40$
Hence the side of the regular hexagon $= 40 m$

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