How many rectangles are possible for 28 square units?

Infinitely many.

Select any number between 0 and sqrt(28) and call it W.

Then let L = 28/W.

A rectangle with length L units and width W units will have an area of LxW = (28/W)*W = 28 square units. And, since W could be any one of infinitely many numbers between 0 and sqrt(28), there are infinitely many possible answers.

Infinitely many.

Select any number between 0 and sqrt(28) and call it W.

Then let L = 28/W.

A rectangle with length L units and width W units will have an area of LxW = (28/W)*W = 28 square units. And, since W could be any one of infinitely many numbers between 0 and sqrt(28), there are infinitely many possible answers.

Infinitely many.

Select any number between 0 and sqrt(28) and call it W.

Then let L = 28/W.

A rectangle with length L units and width W units will have an area of LxW = (28/W)*W = 28 square units. And, since W could be any one of infinitely many numbers between 0 and sqrt(28), there are infinitely many possible answers.

Infinitely many.

Select any number between 0 and sqrt(28) and call it W.

Then let L = 28/W.

A rectangle with length L units and width W units will have an area of LxW = (28/W)*W = 28 square units. And, since W could be any one of infinitely many numbers between 0 and sqrt(28), there are infinitely many possible answers.