Question

The ratio of the perimeter to area of a sqaure having side 6 cm is ______​

Answer 1

        $\text{Side of square}(s) = 6 \: cm$

        $\text{We know that Perimeter of a square} = 4s$

        $\text{We also know that Area of a square} = s^2$

$\implies \text{Perimeter of square}(P) = 4\times 6 = 24 \: cm$

$\implies \text{Area of square}(A) = 6\times6 = 36 \: cm^2$

$\implies \text{Ratio between }P \text{ and }A = \dfrac{24}{36} = \dfrac{2}{3}$

$\implies \: \boxed{P : A = 2:3}$

Answer 2

Answer:

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2:3

Step-by-step explanation:

So, to find its ratio, first, we should find the perimeter and area

The Perimeter of a square

= 4 x side

= 4 x 6

= 24cm

The Area of a square

=   side x side

= 6 x 6

= 36$cm^{2}$

Now, the ratio will be,

Perimeter/Area

= 24/36

= 4/6 (cancellation from 6 table)

= 2/3 (cancellation from 2 table)

So, the ratio of the perimeter to area of a square having side 6 cm is 2:3