Respuesta :

Answer:

10

Step-by-step explanation:

We can set up an equation using the information given to us:

x+x-2+6=[tex]\frac{1}{2}*(x-2)*6[/tex]

Simplify both sides

2x+4=3(x-2)

Distribute the 3 on the right side

2x+4=3(x)-3(2)

2x+4=3x-6

Move like terms to one side

x=10

[tex]\stackrel{\textit{value of the perimeter in feet}}{(x)+(x-2)+(6)}~~ = ~~\stackrel{\textit{value of the area in }ft^2}{\cfrac{1}{2}\underset{base}{(x-2)}\underset{height}{6}} \\\\\\ 2x+4=3x-6\implies 4=x-6\implies 10=x[/tex]