Find the perimeter of a square with side a. are the perimeter of the square and the length of its side directly proportional quantities? a=2 cm

i need the quantities and perimeter is
cm

The perimeter is 8 cm.

Yes, the perimeter of a square is directly proportional to its side length.

Step-by-step explanation:

Given:

The side length of the square is,

The perimeter of a square is the sum of all of its side lengths. The perimeter of a square of side length 'a' is given as:

Plug in and find perimeter, 'P'. This gives,

Therefore, the perimeter is 8 cm.

Now, two quantities are directly proportional only if their ratio is a constant.

Let us find the ratio of 'P' and 'a'.

We have,

Dividing both sides by 'a', we get:

Therefore, the ratio of perimeter and side length is a constant. Hence, these are directly proportional quantities.

step-by-step explanation:

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