Solve R=rho*L/A

$$R = \rho \cdot \frac { L } { A }$$

Solve for A

$$\left\{\begin{matrix}A=\frac{L\rho }{R}\text{, }&L\neq 0\text{ and }\rho \neq 0\text{ and }R\neq 0\\A\neq 0\text{, }&\left(L=0\text{ or }\rho =0\right)\text{ and }R=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A.

$$RA=\rho L$$

The equation is in standard form.

$$RA=L\rho$$

Divide both sides by R.

$$\frac{RA}{R}=\frac{L\rho }{R}$$

Dividing by R undoes the multiplication by R.

$$A=\frac{L\rho }{R}$$

Variable A cannot be equal to 0.

$$A=\frac{L\rho }{R}\text{, }A\neq 0$$

Solve for L

$$\left\{\begin{matrix}L=\frac{AR}{\rho }\text{, }&\rho \neq 0\text{ and }A\neq 0\\L\in \mathrm{R}\text{, }&R=0\text{ and }\rho =0\text{ and }A\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by A.

$$RA=\rho L$$

Swap sides so that all variable terms are on the left hand side.

$$\rho L=RA$$

The equation is in standard form.

$$\rho L=AR$$

Divide both sides by \rho .

$$\frac{\rho L}{\rho }=\frac{AR}{\rho }$$

Dividing by \rho undoes the multiplication by \rho .

$$L=\frac{AR}{\rho }$$