A piece of string is long. The length of each side if the string is used to form-

●       A square will be

●       An equilateral triangle will be

●       A regular hexagon will be

Out of these 3, choose which of them would be true (T) and which of them would be false (F) .

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F, F, F

T, T, F

T, T, T

None

answer is B.

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Detailed Solution

Concept- Piece of string is used to form the different shapes. It means the length of the string will be used in the boundaries only and to find the boundary we use the formula of perimeter. To find the sides of each shape Perimeter of that particular shape will be equal to the length of the string,
Given that,
Length of the string is

Therefore, the perimeter of given shapes are

● For square,
Let the side of the square be

cm
Now, the perimeter of square

The length of each side of the square is

● For an equilateral triangle,
Let the side of the equilateral triangle be

cm
Now, the perimeter of an equilateral triangle

The length of each side of an equilateral triangle is

.
● For a regular hexagon,
Let the side of the hexagon be

cm
Now, the perimeter of a hexagon

The length of each side of a regular hexagon is

Hence, the correct answer is option (2) .

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