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LiRa
3 months ago
7

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

Mathematics
2 answers:
Leona [12.6K]3 months ago
7 0
S=2(lw+lh+wh)\\
S=2lw+2lh+2wh\\
S=w(2l+2h)+2lh\\
w(2l+2h)=S-2lh\\
w=\frac{S-2lh}{2l+2h}
tester [12.3K]3 months ago
7 0

We start with

s=2(lw+lh+wh)

To solve for w means isolating the variable w

s=2(lw+lh+wh)\\s=2lw+2lh+2wh

Combine terms that include the variable w, shifting the remaining terms to the other side of the equation

(s-2lh)=(2lw+2wh)

Factor out the variable w

(s-2lh)=w(2l+2h)

Then divide both sides by (2l+2h)

(s-2lh)/(2l+2h)=w(2l+2h)/(2l+2h)

w=(s-2lh)/(2l+2h)

Consequently,

the result is

w=(s-2lh)/(2l+2h)


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