Question

a piece of string is 30cm long.what will be the length of each side of the string is used to form a suare b a euilateral triangle​

Answer 1

Answer :

• (a) 7.5 cm.
• (b) 10 cm.

Step-by-step explanation :

Accurate Question :

A piece of string is 30 cm long. What will be the length Of each side if the string is used to form :

(a) a square?

(b) an equilateral triangle?

Solution :

Given :

The length of the string is 30 cm.

So,

First we have to find the length of a regular polygon by using the string.

Steps to know the length :

• We need to know the number of sides of the polygon.
• We will divide the length of the string the number of equal sides of the polygon.

Now,

(a) For a square :

The number of equal sides = 4.

So, the length of each side of the square is :

$\sf\\ \\ \implies L =\dfrac{30}{4}\\ \\ \implies 7.5~cm.$

$\rule{300}{1.5}$

(b) For an equilateral triangle :

The number of equal sides = 3.

So, the length of each side of the equilateral triangle is :

$\sf\\ \\\implies k=\dfrac{30}{3}\\ \\ \implies 10~cm.$

Answer 2

$\huge\underline\mathrm{Correct\:Question-}$

A piece of string is 30 cm long. What will be the length of each side of the string is used to form :

a) Square

b) An equilateral triangle

$\huge\underline\mathrm{Solution-}$

a) square

We know that, all sides are equal in a square.

So, we can say that -

4 ( side ) = 30 cm

$\mapsto$ Side = $\rm{\dfrac{30}{4}}$

$\mapsto$ Side = 7.5 cm

$\therefore$ Length of each side of string to form a square is 7.5 cm.

$\rule{200}1$

b) An equilateral triangle

We know that, there are three equal sides in an equilateral triangle.

So, we can say that -

3 ( side ) = 30

$\mapsto$ side = $\rm{\cancel{\dfrac{30}{3}}}$

$\mapsto$ side = 10 cm

$\therefore$ Length of each side of string to form an equilateral triangle is 10 cm.