The perimeter of a square is directly proportional to the length of its sides.

A. Write an equation to represent this direct variation. Make sure to define your variables.

B. In complete sentences, use a specific example to justify your equation from part A. Include a drawing in your answer.

p=nL

Step-by-step explanation:

A. p = nL, where p is the 'perimeter', n is the number of sides, and L is the length of one side.  This equation holds true for any equilateral object.  

B. Since the sides of a square are all equal and there are four sides to a square, one can easily see that the perimeter is 4L... for example a 5 meter square would have a perimeter of 4x5, or 20 meters.

Or

Perimeter of a square is 4L with L being the length of one of its sides.

So P = 4L

If you use 8 as L, then P = 4 x 8 or 32.

So just draw a square and mark 8 and the length of one of its sides.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

-6 is the correct option from the above given options