Solve for h A=2lw+2wh+2hl

$A = 2 l w + 2 w h + 2 h l$

Rewrite the equation as $2 l w + 2 w h + 2 h l = A$ .

$2 l w + 2 w h + 2 h l = A$

Subtract $2 l w$ from both sides of the equation.

$2 w h + 2 h l = A - 2 l w$

Factor $2 h$ out of $2 w h + 2 h l$ .

Tap for more steps…

Factor $2 h$ out of $2 w h$ .

$2 h (w) + 2 h l = A - 2 l w$

Factor $2 h$ out of $2 h l$ .

$2 h (w) + 2 h (l) = A - 2 l w$

Factor $2 h$ out of $2 h (w) + 2 h (l)$ .

$2 h (w + l) = A - 2 l w$

Divide each term by $2 (w + l)$ and simplify.

Tap for more steps…

Divide each term in $2 h (w + l) = A - 2 l w$ by $2 (w + l)$ .

$\frac{2 h (w + l)}{2 (w + l)} = \frac{A}{2 (w + l)} + \frac{- 2 l w}{2 (w + l)}$

Simplify the left side of the equation by cancelling the common factors.

Tap for more steps…

Cancel the common factor of $2$ .

Tap for more steps…

Cancel the common factor.

$\frac{2 h (w + l)}{2 (w + l)} = \frac{A}{2 (w + l)} + \frac{- 2 l w}{2 (w + l)}$

Rewrite the expression.

$\frac{h (w + l)}{w + l} = \frac{A}{2 (w + l)} + \frac{- 2 l w}{2 (w + l)}$

Cancel the common factor of $w + l$ .

Tap for more steps…

Cancel the common factor.

$\frac{h (w + l)}{w + l} = \frac{A}{2 (w + l)} + \frac{- 2 l w}{2 (w + l)}$

Divide $h$ by $1$ .

$h = \frac{A}{2 (w + l)} + \frac{- 2 l w}{2 (w + l)}$

Simplify $\frac{A}{2 (w + l)} + \frac{- 2 l w}{2 (w + l)}$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Cancel the common factor of $- 2$ and $2$ .

Tap for more steps…

Factor $2$ out of $- 2 l w$ .

$h = \frac{A}{2 (w + l)} + \frac{2 (- l w)}{2 (w + l)}$

Cancel the common factors.

Tap for more steps…

Cancel the common factor.

$h = \frac{A}{2 (w + l)} + \frac{2 (- l w)}{2 (w + l)}$

Rewrite the expression.

$h = \frac{A}{2 (w + l)} + \frac{- l w}{w + l}$

Move the negative in front of the fraction.

$h = \frac{A}{2 (w + l)} - \frac{l w}{w + l}$

To write $- \frac{l w}{w + l}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$h = \frac{A}{2 (w + l)} - \frac{l w}{w + l} \cdot \frac{2}{2}$

Write each expression with a common denominator of $2 (w + l)$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps…

Combine.

$h = \frac{A}{2 (w + l)} - \frac{l w \cdot 2}{(w + l) \cdot 2}$

Reorder the factors of $(w + l) \cdot 2$ .

$h = \frac{A}{2 (w + l)} - \frac{l w \cdot 2}{2 (w + l)}$

Combine the numerators over the common denominator.

$h = \frac{A - l w \cdot 2}{2 (w + l)}$

Multiply $2$ by $- 1$ .

$h = \frac{A - 2 l w}{2 (w + l)}$

Solve for h A=2lw+2wh+2hl

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store