Respuesta :
Alright, lets get started.
The perimeter of a rectangle is given by :
[tex] P = 2w + 2l [/tex]
We are asked to find the width , so
[tex] P = 2w + 2l [/tex]
Subtracting 2l in both sides
[tex] P - 2l = 2w + 2l - 2l [/tex]
[tex] P - 2l = 2w [/tex]
Divide 2 in both sides
[tex] \frac{P-2l}{2}=\frac{2w}{2} [/tex]
[tex] \frac{P-2l}{2} = w [/tex]
[tex] w =\frac{P}{2} - l [/tex]
This is the answer.
Hope it will help :)