Answer:
When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:
A = W*L
In this case we have:
W = x
L = 10/x.
Then the area of the rectangle will be:
A = W*L = x*(10/x) = 10
So the value of x cancels in the equation, which means that we can not find the value of x.
Now, as L = 10/x we can find some restrictions:
if x = 0, we would have L = 10/0
So we can not have x = 0.
And as W = x, this represents a positive measure, we also have that x can not be a negative number.
So the relation:
W = x
L = 10/x
Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.
