Question

S = 2lw + 2wh + 2hl, solve for h (surface area of a rectangle)

Answer 1

Answer:

• h = (S - 2lw)/(2w + 2l)

Step-by-step explanation:

Given formula:

• S = 2lw + 2wh + 2hl

Solve for h:

• 2wh + 2lh = S - 2lw
• h(2w + 2l) = S - 2lw
• h = (S - 2lw)/(2w + 2l)

Answer 2

Answer:

$s = 2lw + 2wh + 2hl \\ s = 2(lw + wh + hl) \\ \frac{s}{2} = lw + wh + hl \\ \frac{s}{2} - lw = h(w + l) \\ h = \frac{ \frac{s}{2} - lw}{w + l} \\ thank \: you$