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?
(c) a regular hexagon?

Answer 1

Answer: (a). 7.5 cm,  (b) 10 cm  and  (c) 5 cm.

Step-by-step explanation: The length of the string is given to be 30 cm.

To find the length of a regular polygon by using the string, we first need to know the number of sides of the polygon, and the we will divide the length of the string the number of equal sides of the polygon.

(a) For a square, the number of equal sides = 4. So, the length of each side of the square is given by

$\ell=\dfrac{30}{4} = 7.5~cm.$

(b) For an equilateral triangle, the number of equal sides = 3. So, the length of each side of the equilateral triangle is given by

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

(c) For a regular hexagon, the number of equal sides = 6. So, the length of each side is given by

$m=\dfrac{30}{6} = 5~cm.$

Thus, the answer is 7.5 cm, 10 cm and 5 cm.

Answer 2

Answer:

(a) 7.5 cm, (b) 10 cm, (c) 5 cm

Step-by-step explanation:

(a) 30/4= 7.5 cm

(b) 30/3=10 cm

(c) 30/6= 5 cm