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A wire in the shape of a regular hexagon of side 6 cm is reshaped to form a square. Find the measure of each side of the square.
Given:
A wire is in the shape of a hexagon of side 6cm.
It has to be reshaped to form a square.
To find:
The measure of each side of the square.
Solution:
Side of hexagon $(x)$ = 6 cm
Perimeter of hexagon = Perimeter of square
Perimeter of hexagon = 6 $\times$ side
6$\times x$ = 6 $\times$ 6 = 36
Perimeter of hexagon = 36 cm
Perimeter of square = 36 cm
Formula of Perimeter of square = 4 $\times$ side
4 $\times$ side = 36
Side = $\frac{36}{4} = 9$
Side of the square is 9 cm.
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