Question

Solve S=2(lw + lh + wh) for w

Answer 1

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 2

Answer:

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

Step-by-step explanation:

Consider the provided equation.

$S=2(lw + lh + wh)$  

We need to solve the equation for w.

Distributive property:

$a(b+c)=ab+ac$

Use the above property.

$S=2lw + 2lh + 2wh$  

Subtract 2lh from both the sides.

$S-2lh=2lw+ 2wh$  

Take w common from the right side.

$S-2lh=w(2l+ 2h)$

Divide both the side by 2l+2h.

$\frac{S-2lh}{2l+2h}=\frac{w(2l+ 2h)}{2l+2h}$

$w=\frac{S-2lh}{2l+2h}$

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