Question

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

Answer 1

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:

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

• finally, completely factorise out the value h

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