Question

The length of a piece of wire is 180 m. If the wire is used to make a regular pentagon and a regular hexagon, find the
difference in lengths of its sides​

Answer 1

Answer:

side of pantagon = 36 m

side of hexagon = 30 m

Step-by-step explanation:

Given that,

The length of a piece of wire is 180 m

now,

when the wire is used to make a regular pentagon

since pantagon have 5 sides of equal length

and here length of the wire is the perimeter of the pantagon

so,

perimeter of the pantagon = 5 × side

so,

5 × side = 180 m

side = 180/5

side = 36 m

now,

when the wire is used to make a regular hexagon

since hexagon have 5 sides of equal length

and here length of the wire is the perimeter of the hexagon

so,

perimeter of the hexagon = 6 × side

so,

6 × side = 180 m

side = 180/6

side = 30 m

so,

side of pantagon = 36 m

side of hexagon = 30 m

Answer 2

Step-by-step explanation:

length of a piece of wire=180

Therefore it means that

The perimeter of pentagon=180

But we have,

The perimeter of pentagon=

$5 \times side$

Therefore lhs is equal

Therefore,

$5 \times side = 180$

$side = \frac{180}{5} \\ side = 30$

Similarly

The perimeter of hexagon=180

The perimeter of hexagon =

$6 \times side$

Hence,

L. H. S is equal

Therefore

$6 \times side = 180 \\ side = \frac{180}{6 } \\ side = 36$

Therefore,

We got the side that is

Side of pentagon =30 m

And

Side of hexagon =36 m