Question

The perimeter of a square is 4 times as

great as the length of any of its sides.
Determine if the perimeter of a square is proportional to its side length. Explain.

Answer 1

Perimeter of a square is proportional to side length

Explanation:

We have the relation p = 4a, p = perimeter, a = side length

This is the equation for a proportionate relationship of the form y = k.x where y ∝ x , y directly proportional to x => y varies as x varies and always by the same constant

k is known as constant of proportionality

Here k = 4

Let's say the side of square is 1. Then perimeter = 4

If side is increased to 2, then perimeter = 4 x 2 = 8

If side is increased to 3, then perimeter is 4 x 3 = 12

So perimeter increases by a factor of 4 for every unit increase in side length