Question

a square has a side length of 15 cm and a rectangular hexagon has a side length of 22.5 cm. the ratio of the perimeter of square to perimeter of hexagon is ​

Answer 1

Answer:

4:9

Step-by-step explanation:

Perimeter of square - 60 cm

Perimeter of regular hexagon = 6 x 22.5cm = 135 cm

Now, required ratio = 60:135

= 60÷15 : 135:15

= 4:9

Hence answer is 4:9

Answer 2

Step-by-step explanation:

Given:-

a square has a side length of 15 cm and a rectangular hexagon has a side length of 22.5 cm.

To find:-

Find the ratio of the perimeter of square to perimeter of Hexagon?

Solution:-

Length of the side of a square = 15 cm

Perimeter of a square = 4× length of the side

=>Perimeter of the square = 4×15 = 60 cm

Length of the Side of the regular hexagon

= 22.5 cm

Regular hexagon means the 6 sides of the polygon are equal .

Perimeter of the regular hexagon

=6×Length of the side units

=6×22.5 cm

=135 cm

Perimeter of the regular hexagon = 135 cm

Their ratio = 60:135

=>(6×10):(6×22.5)

=>10:22.5

=>10:(225/10)

=>10×10:(225/10)×10

=>100:225

=>(4×25):(9×25)

=>4:9

Answer:-

The ratio of the Perimeters of the square and the regular hexagon = 4:9

Used formulae:-

• Perimeter of a square = 4× length of the side
• Perimeter of the regular hexagon
• =6×Length of the side