A wire was bent to form a square of side 21cm. The same wire was then straightened and rebent to form a regular square hexagon. Find the length of each side of the hexagon.
Answers
Answer:
Given:-
Number of sides in hexagon : 6
Perimeter of regular hexagon : 21
To find:-
the value of one side
Solution:-
X+X+X+X+X+X = 21
=> 6X = 21
X = 21/6
X = 7/2
X = 3.5 CM
Step-by-step explanation:
EXPLANATION
- Question
A wire was bent to form a square of side 21cm. The same wire was then straightened and rebent to form a regular square hexagon. Find the length of each side of the hexagon?
- Procedure
As the same wire is first bent into a square and then again into a hexagon
That means the length of wire didn't change
Therefore,
The perimeter of the two figures made are equal
Side of the square made using the wire = 21 cm
We know that,
The Perimeter of the square =
Perimeter of the square made using the wire = 4 * 21 = 84 cm
We know that,
The perimeter of the regular hexagon =
Let the length of each of the regular hexagon be x
Perimeter of the regular hexagon made using the wire = 6x
As the perimeter of both the figures are same
Therefore,
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- Extra-Information
i) Perimeter of triangle = Sum of all the sides
ii) Area of triangle =
iii) Area of triangle =
where and a, b,c are the sides of the triangle