Answer:
L=![\frac{A}{W}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7BW%7D)
Step-by-step explanation:
Given that:
....[1]
Since, this is the formula for Area of rectangle(A):
i.e
Area of rectangle(A) is given by
![A = LW](https://tex.z-dn.net/?f=A%20%3D%20LW)
where, L is the length and W is the width of the rectangle respectively.
We have to find indicated variable (L):
Divide both sides by W we have;
; ![W>0](https://tex.z-dn.net/?f=W%3E0)
Simplify:
![\frac{A}{W} = L](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7BW%7D%20%3D%20L)
or
![L=\frac{A}{W}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7BA%7D%7BW%7D)
therefore, the value of L is, ![\frac{A}{W}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7BW%7D)