Question

A wire 1 m 68 cm long is cut into two equal pieces. One piece is used to make a regular hexagon and the other is used to make a regular pentagon. Find the difference in the length of sides of the Pentagon and hexagon formed​

Answer 1

Step-by-step explanation:

The difference in the lengths of the sides of the pentagon and hexagon formed is 2.8 cm.

To find :

The difference in the length of the sides of the pentagon and hexagon formed.

Given :

A wire of 1 m 68 cm.

Conversion of m to cm :

1 m = 100 cm

1 m 68 cm ⇒ 100 + 68 ⇒ 168 cm.

A wire of 168 cm is cut into two equal pieces :

i.e., $\frac{168}{2}$

2

168

= 84 cm

One piece is used to make a regular pentagon :

A regular pentagon has 5 sides.

One piece of regular pentagon is $\begin{gathered}\frac{84}{5} \\\end{gathered}$

= 16.8 cm

Other piece is used to make a regular hexagon :

A regular hexangon has 6 sides.

Other piece of regular hexagon is $\frac{84}{6}$

6

84

= 14 cm.

Difference in the length of the sides of the pentagon and hexagon formed :

Length of the sides = Regular pentagon - Regular hexagon

= 16.8 - 14

= 2.8

Therefore, the length of the side is 2.8 cm.

To learn more...

brainly.in/question/3001666