Respuesta :

Answer:

Height is 5.3 inches.

Step-by-step explanation:

2* base + 2*height = 35.8

2*12.6 + 2h = 35.8

h = (35.8 - 2(12.6) / 2

= (35.8 - 25.2) /2

=  10.6 / 2

= 5.3 inches.

gmany

Answer:

5.3in

Step-by-step explanation:

The formula of a perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

l - length

w - width

We have

[tex]P=35.8in\\l=12.6in[/tex]

Substitute:

[tex]35.8=2(12.6+w)[/tex]       divide both sides by 2

[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]

[tex]17.9=12.6+w[/tex]       subtract 12.6 from both sides

[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]