Question

Arrange the given regular polygons having same perimeter of 60 units in descending order of their side length.

• A. Hexagon
• B. Square
• C. Triangle
• D. Pentagon

Answer 1

It is given that all the regular polygons have same perimeter of 60 units.
$\because$ Perimeter of regular polygon = (Length of side) x (Number of sides)
$\Rightarrow \text{Length of side}=\frac{\text{Perimeter}}{\text{Number of sides}}$
We know that,
Square has 4 sides
$\therefore \text{Side of Square}=\frac{60}{4}$
= 15 units...(i)
Triangle has 3 sides
$\therefore \text{Side of Triangle}=\frac{60}{3}$
= 20 units...(ii)
Pentagon has 5 sides
$\therefore \text{Side of Pentagon}=\frac{60}{5}$
= 12 units...(iii)
Hexagon has 6 sides
$\therefore \text{Side of hexagon}=\frac{60}{4}$
= 10 units...(iv)

From (i), (ii), (iii), (iv) the descending order is
Triangle > Square > Pentagon > Hexagon