Question

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

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vcloc

Answer 1

`{ \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) ) \: \: }}}}`