Question

The perimeter of an equilateral triangle is directly proportional to the length of one of its sides. The perimeter is 17.7

when the length of a side is 5.29. What is the constant of proportionality

Answer 1

3

Explanation:

k=y/x

k=17.75/5.29

k= 3.345

=3

Answer 2

Answer: 3.35 in 3 significant figures.

Explanation:

According to question,

Perimeter ∝ length

Here, ∝ means directly proportional.

To remove symbol, introduce a constant. Let the constant be k.

Perimeter ∝ length

Perimeter = k × length

Now, perimeter = 17.7 and length = 5.29

Perimeter = k × length

k = perimeter / length

k = 17.7 / 5.29

k = 3.35 in 3 significant figures.