Answer:
L = Length.
W = Width.
A = Area
First Interpretation.
L – 4 = W------(i)
2nd Interpretation
L x W = 32 -----(ii)
Since Area of a Rectangle = LxW
Substituting eqn (i) into eqn (ii)
L x ( L – 4) = 32
L² – 4L = 32
L² – 4L – 32 = 0
Solving Quadratically.
L = 8 or –4
The dimension of Length can't be negative in this case.
So we go with L= 8
W = L – 4
W = 8 – 4
W = 4
L x W = 32
4 x 8 = 32.
Note.
The 2nd value of L can also give this value.
Have a look.
L = –4
W = L – 4
W = –4 –4 = –8
L x W = –4 x –8 = 32.
But I'd go with the Positive L value.
Unless you're asked to state all Possible values of L and W.
Have a great day :)