Answer:
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.