Question

perimeter of a figure is always numerically less than the area of the figure​ true or false

Answer 1

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• perimeter is different quantity and Area is different quantity both can not be campared.
• And, if campared so, then it's not true that perimeter is less than area ..as it can be greater. For ex :- if 2 unit is the side of square then, it's area is 4unit² but it's perimeter is 8unit . so, here perimeter is numerically greater than area .

Answer 2

Answer:

False.

Step-by-step explanation:

Its not necessary, area can be lesser than the perimeter in certain cases.

Suppose of the square on side-length 1 cm,

Using properties you can say, area of ( 1 cm )^2 = 1  cm^2

and thus, perimeter of the same square is 4( 1 cm ) = 4 cm.

What you got ?

       Numerically, perimeter of square is greater then its area.

Same for a circle,

       Area of a circle of radius 1 cm is π( 1 cm )^2 = π cm^2

    Whereas perimeter is 2π( 1 cm ) = 2π cm.

  In this case too, perimeter is greater than area.

Hence the given statement is false.