Let’s consider all possible rectangles with the same area of 30 square inches.
Please note: the length of the sides are whole numbers.

Let the base of such a rectangle be x and the height be y. How would y depend on x?

Given:

Area of the rectangle  = 30 square inches.

length of the sides are whole numbers.

Solution:

The base of the rectangle  is  x and the height is y

We know that Area of the rectangle  =

That is

30 =

The possible values of length and breadth

length x : 1    2      3      5    6    10   15    30

breath  y: 30   15    10   6     5    3      2      1

Now

30 =  xy

when y increases x decreases and vice versa

one that is bigger than 3 1/2