The measure of one side of a square is (s + 3) inches long.Writes two different equivalent expressions that represent the perimeter of the square. How can I do this it's hard

Respuesta :

Answer:

Therefore Perimeter of a Square,

1. [tex]Perimeter =(s+3)+(s+3)+(s+3)+(s+3) =4s+12[/tex]

2. [tex]Perimeter=4(s+3)=4s+12[/tex]

Step-by-step explanation:

Given:

The measure of one side of a square is (s + 3) inches long,

∴ length of a side of square is  (s+3) inches

Let the Perimeter of a Square be "P"

To Find:

P =?

Solution:

Square:

For a Square all sides are EQUAL.

Perimeter of Square:

Sum of all the sides.

It's Formula is given by,

[tex]Perimeter=4\times (side)[/tex]

side = length of a side of square

Substituting the values we get

[tex]Perimeter =4(s+3)[/tex]

Applying Distributive Property A(B+C)=AB+AC we get

[tex]Perimeter =4s+4\times 3\\Perimeter=4s+12[/tex]

Both the Expression is Equivalent

Also you can get it by adding sides 4 times ,

[tex]Perimeter =(s+3)+(s+3)+(s+3)+(s+3)=4s+12[/tex]

Therefore Perimeter of a Square,

1. [tex]Perimeter =(s+3)+(s+3)+(s+3)+(s+3)=4s+12[/tex]

2. [tex]Perimeter=4(s+3)=4s+12[/tex]