Question

A piece of string is 36 cm long. What will be the length of each side, if the string is used to form: (a) a square (b) an equailateral triangle

Answer 1

length of each side of square = 36/4=9 cm

lenght of each side of equilateral triangle =36/3=12 cm


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Answer 2

Lengths of the side of a square is 9 cm. and that of the equilateral triangle is 12 cm.

• The complete length that a square's boundary spans is referred to as the perimeter of the square. The distance around any closed geometric shape can be used to compute its perimeter.
• By adding together all the sides of a square, the perimeter may be computed. It is equal to the length of a square's four sides multiplied by four because all four sides are equal.

Here, according to the given information, we are given that,

The length of the piece of string is 36 cm.

Now, when the string is made into a square, the length of the string measures the perimeter of the square.

Then, we know that, Perimeter of a square = $4.s,$ where s is the length of a side.

Then, we get,

$4s = 36.$

Or, $s = 9$ cm.

Similarly, when the string is made into an equilateral triangle, the length of the string measures the perimeter of the equilateral triangle which 3 multiplied by the length of a side.

Then, we get,

$3s =36.$

Or, $s= 12$ cm.

Hence, lengths of the side of a square is 9 cm. and that of the equilateral triangle is 12 cm.

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