zahra has paper rectangles of different sizes. every rectangle is 5 cm longer than it is wide. Is there a proportional relationship between the lengths and widths of these rectangles? Explain.

No, there is no proportional relationship exist between the lengths and widths of these rectangles.

Step-by-step explanation:

Since, it is given that every rectangle is 5 cm longer than it's width.

⇒ If Width = W, then Length = W + 5

Also, she has a rectangle of different sizes.

Thus, there can't be more relationship exist between Length and Width.

The only relationship between Length and Width is:

W = L + 5

where, W is Width of rectangle.

and, L is Length of rectangle.

As given Zahra has paper rectangles of different sizes.

Also, Every rectangle is 5 cm is longer than it's breadth.

So, if Length=L, then Breadth = L - 5

Or, if Breadth = B, then Length = B+5

or, if length is x and breadth is y, then writing in terms of equation

→x=y+5

As you can see, there is not any proportional relationship between length and widths of these rectangles.