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]