Solve the formula for the given letter. $R = \frac { p L } { A } \text { for } L$
A) $L = \frac { p } { A R }$
B) $L = \frac { A p } { R }$
C) $L = \frac { A R } { p }$
D) $L = \frac { A } { p R }$
E) $L = p A R$

Question

Quizplus · Accepted Answer

To isolate L, we need to get rid of the p in the numerator and the A in the denominator. To get rid of p, we can multiply both sides by p. To get rid of A, we can divide both sides by A. This gives us:
$$Rp = \frac{pL}{A} \cdot p$$
$$Rp = \frac{pL}{A} \cdot \frac{1}{A} \cdot A$$
$$Rp = \frac{L}{A} \cdot p \cdot A$$
$$Rp = \frac{LA}{A} \cdot p$$
$$Rp = L \cdot p$$
$$L = \frac{Rp}{p}$$
$$L = \frac{R \cdot p}{p}$$
$$\boxed{L = \frac{AR}{p}}$$

Solve the Formula for the Given Letter R=pLA for LR = \frac { p L } { A } \text { for } LR=ApL​ for L

Solve the Formula for the Given Letter $R = \frac { p L } { A } \text { for } L$