Respuesta :

coolstick
Dividing by 2, we have S/2=lw+lh+wh. After that, we subtract lh from both sides to get S/2-lh=lw+wh. Next, we divide both sides by w to get (S/2)/w=l+h. Next, we divide by S/2 to get 1/w=(l+h)/(S/2). Lastly, we multiply by w and divide by (l+h)/(S/2)  to get w=(S/2)/(l+h)

Answer:

The value of the equation for w is [tex]w=\frac{S-2lh}{2l+2h}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]S=2(lw + lh + wh)[/tex]  

We need to solve the equation for w.

Distributive property:

[tex]a(b+c)=ab+ac[/tex]

Use the above property.

[tex]S=2lw + 2lh + 2wh[/tex]  

Subtract 2lh from both the sides.

[tex]S-2lh=2lw+ 2wh[/tex]  

Take w common from the right side.

[tex]S-2lh=w(2l+ 2h)[/tex]

Divide both the side by 2l+2h.

[tex]\frac{S-2lh}{2l+2h}=\frac{w(2l+ 2h)}{2l+2h}[/tex]

[tex]w=\frac{S-2lh}{2l+2h}[/tex]

Hence, the value of the equation for w is [tex]w=\frac{S-2lh}{2l+2h}[/tex].

Otras preguntas