Answer and Step-by-step explanation:
We are given the perimeter equation: P = 2w + 2l, where w is width and l is length.
We want to find l. We do this by getting all of the variables to one side of the equation and have l by itself on the other side of the equation.
We start off by subtracting 2w from both sides of the equation.
P - 2w = 2w + 2l - 2w
P - 2w = 2l
Now we divide both sides of the equation by 2.
![(P-2w)/(2) = (2l)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/dul978bmt8kf7433ay4gapbb2ovn372fsp.png)
![(P-2w)/(2) = l](https://img.qammunity.org/2023/formulas/mathematics/college/1twixiup8bjez3o4qqgw1lglf419yycohp.png)
To simplify it further, we can write the equation as such:
![l = (1)/(2)P - w](https://img.qammunity.org/2023/formulas/mathematics/college/cq11mgribnh9q8dxzanhwaig2z6mrttm5a.png)
Have a good day!