Question

Find the length of a fence that surrounds a square garden if the length of one side of the garden is given. Are the length of the fence and the length of one side directly proportional quantities? Explain

Answer 1

Answer:

A square has 4 sides with equal length.

So the perimeter of a square is equal to 4 times the length of one side.

Now, suppose that we know that the length of one side of the garden is x.

Then the total length of the fence that surrounds the square is:

L = 4*x.

Now let's define proportional quantities:

x and y are proportional quantities if:

x = k*y

where k is a constant of proportionality.

In the case of our problem, we have a relation between L (total length of the fence) and x (length of one side of the garden)

L = 4*x

This is a proportional relation, and 4 is the constant of proportionality.