Question

Which graph best shows the relationship between the length of one side of a square and its perimeter.

Please explain your answer so I can figure this out in the future..

Answer 1

The answer is the 1st graph. This is because a square have 4 sides and it is all the same. on the x axis (Side length) when it is 4 the perimeter (Length around the outside) will be 4 x 4 which is 16.

Hope this helps?

Answer 2

First graph.

Explanation:

Remember that a square has all four equal sides, which we are gonna call
`x`.

Now, the perimeter is defined as the sum of all sides, which is
`P=x+x+x+x=4x`

As you can notice, the perimeter of a square is four times its side. If we call
`y` the perimeter, the relation is

`y=4x`

That means if each side is 4 units, then its perimeter is 16 units.

If you observe each graph, you would find that the first graph describes this relation. To demonstrate that, let's the slope of the line using (0,0) and (4, 16) which are two points on the line

`m=(16-0)/(4-0)=(16)/(4)=4`

Notice that the first graph has the same slope (ratio of change) than the expression we deducted.

Therefore, the right answer is the first graph.