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.

A. P = 4s

B. P = 24 cm

Step-by-step explanation:

Perimeter of a shape is the sum of all the length of sides of the shape.

Let the perimeter of the square be represented by P, and the length of its sides by s.

A. P s

P = ks

where k is the proportionality constant.

But for a square the length of sides are equal, thus;

P = s + s + s + s

  = 4s

So that,

4s = ks

⇒ k = 4

∴ P = 4s

B. Given a square of side length 6 cm, determine its perimeter.

P = 4s

But, s = 6 cm

P = 4 x 6

  = 24

P = 24 cm

The perimeter of the given square is 24 cm. And the drawing is herewith attached to this answer for clarifications.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign