Question

Why the are of any polygon is greater than its perimeter?

Answer 1

In general, the polygon with n sides having the largest area and a givenperimeter is the regular polygon, which is closer to being a circle than is any irregular polygon with the same number of sides.

Answer 2

Step-by-step explanation:

Area of Polygon is not neccesarily greater than its perimeter. For example

In a square with side 4 cm

Perimeter = 16 cm

Area = 16 cm², both are equal.

Another example

A rectangle with sides 3 cm and 4 cm

Perimeter = 14 cm

Area = 12 cm²