Solve S= lw + wh+ lh for h. Hint: Use the distributive property to factor out h. the vcloc

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asked Dec 25, 2022 90.1k views

1 Answer

Jeppe · Answer 1 · 2022-12-30T22:42:07+0000

Answer:

${ \rm{S = lw + wh + lh}}$

• Group the h terms by organised term arrangement :

${ \rm{S = (wh + lh) + lw}}$

• Then using distributive property, factorise out the value h so that the reverse is true.

${ \rm{S = h(w + l) + lw}}$

• for the variable "lw", divide it by h in order to add it to the bracket of (w + l). Make sure the reverse is true:

${ \rm{S = h(w + l) + h( (lw)/(h) )}} \\$

• finally, completely factorise out the value h

$\hookrightarrow \: \: { \boxed{ \boxed { \rm{ \: \: S = h(w + l + (lw)/(h) ) \: \: }}}}$