2) Ava is building a rectangular sandbox. A model of the sandbox's dimensions are shown. Which expression represents the perimeter of Ava's sandbox? A) 9x2 + 14 B) 9x2 + 42x C) 6x + 14 D) 12x + 28

Respuesta :

The Question is Incomplete ,The Complete Question with the figure is below.

Answer:

Therefore, the correct option is

D ) 12x + 28

[tex]Perimeter = 12x+28\ unit[/tex]

Step-by-step explanation:

Given:

A model of the sandbox's dimensions are

[tex]Length = 3x + 14[/tex]

[tex]Width = 3x[/tex]

To Find:

Expression for Perimeter = ?

Solution:

Perimeter of a Rectangular Field is given by,

[tex]\textrm{Perimeter of Rectangle}=2\times (Length +Width)[/tex]

Substituting we get

[tex]\textrm{Perimeter of Rectangle}=2\times ( 3x+14 + 3x)[/tex]

[tex]\textrm{Perimeter of Rectangle}=2\times ( 6x+14)\ units[/tex]

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

[tex]\textrm{Perimeter of Rectangle}=2\times 6x+2\times 14=12x+28\ units[/tex]

Therefore, the correct option is

D ) 12x + 28

[tex]Perimeter = 12x+28\ unit[/tex]

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